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101221012220202 = 23372180771227917
BaseRepresentation
bin10111000000111101011010…
…011110100010100100101010
3111021101122010101020000121000
4113000331122132202210222
5101231401113112021302
6555140142512055430
730214656020600430
oct2700753236424452
9437348111200530
10101221012220202
112a285654632306
12b429388234576
13446313ca33a34
141add1a1c30d50
15ba7ece01d31c
hex5c0f5a7a292a

101221012220202 has 64 divisors (see below), whose sum is σ = 257070625539840. Its totient is φ = 28920133038528.

The previous prime is 101221012220201. The next prime is 101221012220213. The reversal of 101221012220202 is 202022210122101.

It is a happy number.

101221012220202 is a `hidden beast` number, since 10 + 1 + 221 + 0 + 12 + 220 + 202 = 666.

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 (101221012220201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81819148 + ... + 83047064.

It is an arithmetic number, because the mean of its divisors is an integer number (4016728524060).

Almost surely, 2101221012220202 is an apocalyptic number.

101221012220202 is an abundant number, since it is smaller than the sum of its proper divisors (155849613319638).

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

101221012220202 is a wasteful number, since it uses less digits than its factorization.

101221012220202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446012 (or 1446006 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101221012220202 its reverse (202022210122101), we get a palindrome (303243222342303).

The spelling of 101221012220202 in words is "one hundred one trillion, two hundred twenty-one billion, twelve million, two hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 218077 436154 654231 1227917 1308462 1526539 1962693 2455834 3053078 3683751 3925386 4579617 5888079 7367502 8595419 9159234 11051253 11776158 13738851 17190838 22102506 25786257 27477702 33153759 41216553 51572514 66307518 77358771 82433106 154717542 232076313 464152626 267780455609 535560911218 803341366827 1606682733654 1874463189263 2410024100481 3748926378526 4820048200962 5623389567789 7230072301443 11246779135578 14460144602886 16870168703367 33740337406734 50610506110101 101221012220202