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101212001210100 = 223521130670303397
BaseRepresentation
bin10111000000110101000001…
…011000010000111011110100
3111021100202212101102021120010
4113000311001120100323310
5101231224134302210400
6555132052414540220
730214216512352104
oct2700650130207364
9437322771367503
10101212001210100
112a281850101020
12b427692507670
134462334bca1b1
141adc989191204
15ba7b52db9450
hex5c0d41610ef4

101212001210100 has 72 divisors (see below), whose sum is σ = 319461880193568. Its totient is φ = 24536242716800.

The previous prime is 101212001210093. The next prime is 101212001210107. The reversal of 101212001210100 is 1012100212101.

It is an interprime number because it is at equal distance from previous prime (101212001210093) and next prime (101212001210107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212001210107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15335148399 + ... + 15335154998.

It is an arithmetic number, because the mean of its divisors is an integer number (4436970558244).

Almost surely, 2101212001210100 is an apocalyptic number.

101212001210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212001210100 is an abundant number, since it is smaller than the sum of its proper divisors (218249878983468).

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

101212001210100 is a wasteful number, since it uses less digits than its factorization.

101212001210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30670303425 (or 30670303418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101212001210100 its reverse (1012100212101), we get a palindrome (102224101422201).

The spelling of 101212001210100 in words is "one hundred one trillion, two hundred twelve billion, one million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 30670303397 61340606794 92010910191 122681213588 153351516985 184021820382 306703033970 337373337367 368043640764 460054550955 613406067940 674746674734 766757584925 920109101910 1012120012101 1349493349468 1533515169850 1686866686835 1840218203820 2024240024202 2300272754775 3067030339700 3373733373670 4048480048404 4600545509550 5060600060505 6747466747340 8434333434175 9201091019100 10121200121010 16868666868350 20242400242020 25303000302525 33737333736700 50606000605050 101212001210100