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101022001210212 = 22319343619171507
BaseRepresentation
bin10110111110000100000100…
…011111110010001101100100
3111020200121102221220020100020
4112332010010133302031210
5101220121024302211322
6554504511111315140
730164412236120265
oct2676040437621544
9436617387806306
10101022001210212
112a209210054a25
12b3b68a797bab0
13444a445598564
141ad36c323296c
15ba2c3280305c
hex5be1047f2364

101022001210212 has 24 divisors (see below), whose sum is σ = 236939339631456. Its totient is φ = 33499523716608.

The previous prime is 101022001210211. The next prime is 101022001210217. The reversal of 101022001210212 is 212012100220101.

It is a super-2 number, since 2×1010220012102122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101022001210191 and 101022001210200.

It is not an unprimeable number, because it can be changed into a prime (101022001210211) 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 7 ways as a sum of consecutive naturals, for example, 21809583438 + ... + 21809588069.

It is an arithmetic number, because the mean of its divisors is an integer number (9872472484644).

Almost surely, 2101022001210212 is an apocalyptic number.

101022001210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022001210212 is an abundant number, since it is smaller than the sum of its proper divisors (135917338421244).

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

101022001210212 is a wasteful number, since it uses less digits than its factorization.

101022001210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43619171707 (or 43619171705 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101022001210212 its reverse (212012100220101), we get a palindrome (313034101430313).

The spelling of 101022001210212 in words is "one hundred one trillion, twenty-two billion, one million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 193 386 579 772 1158 2316 43619171507 87238343014 130857514521 174476686028 261715029042 523430058084 8418500100851 16837000201702 25255500302553 33674000403404 50511000605106 101022001210212