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101221011211212 = 22335093421753813
BaseRepresentation
bin10111000000111101011010…
…011010101100001111001100
3111021101122010022022202112000
4113000331122122230033030
5101231401112332224322
6555140142434312300
730214656006165654
oct2700753232541714
9437348108282460
10101221011211212
112a285654003232
12b429387a28690
13446313c76c6b9
141add1a1a4b364
15ba7ecddbe3ac
hex5c0f5a6ac3cc

101221011211212 has 96 divisors (see below), whose sum is σ = 262952984145600. Its totient is φ = 33672439696896.

The previous prime is 101221011211153. The next prime is 101221011211217. The reversal of 101221011211212 is 212112110122101.

It is a happy number.

101221011211212 is a `hidden beast` number, since 10 + 1 + 221 + 0 + 11 + 211 + 212 = 666.

101221011211212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1012210112112122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101221011211217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1880950018 + ... + 1881003830.

It is an arithmetic number, because the mean of its divisors is an integer number (2739093584850).

Almost surely, 2101221011211212 is an apocalyptic number.

101221011211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101221011211212 is an abundant number, since it is smaller than the sum of its proper divisors (161731972934388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101221011211212 is a wasteful number, since it uses less digits than its factorization.

101221011211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88552 (or 88544 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101221011211212 its reverse (212112110122101), we get a palindrome (313333121333313).

The spelling of 101221011211212 in words is "one hundred one trillion, two hundred twenty-one billion, eleven million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 509 1018 1527 2036 3054 4581 6108 9162 13743 18324 27486 34217 53813 54972 68434 102651 107626 136868 161439 205302 215252 307953 322878 410604 484317 615906 645756 923859 968634 1231812 1452951 1847718 1937268 2905902 3695436 5811804 17416453 27390817 34832906 52249359 54781634 69665812 82172451 104498718 109563268 156748077 164344902 208997436 246517353 313496154 328689804 470244231 493034706 626992308 739552059 940488462 986069412 1479104118 1841319421 1880976924 2958208236 3682638842 5523958263 7365277684 11047916526 16571874789 22095833052 33143749578 49715624367 66287499156 99431248734 198862497468 937231585289 1874463170578 2811694755867 3748926341156 5623389511734 8435084267601 11246779023468 16870168535202 25305252802803 33740337070404 50610505605606 101221011211212