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10222221012101 = 72619967343127
BaseRepresentation
bin1001010011000000101111…
…0110100010110010000101
31100012020100011021022101222
42110300023312202302011
52314440102034341401
633424005024330125
72103350110650200
oct224601366426205
940166304238358
1010222221012101
1132912462a552a
121191175173945
13591c4a02c967
14274a88482937
1512ad84100c1b
hex94c0bda2c85

10222221012101 has 24 divisors (see below), whose sum is σ = 12087339860736. Its totient is φ = 8617376164320.

The previous prime is 10222221012061. The next prime is 10222221012109. The reversal of 10222221012101 is 10121012222201.

It is not a de Polignac number, because 10222221012101 - 26 = 10222221012037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10222221012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222221012109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29619800 + ... + 29962926.

It is an arithmetic number, because the mean of its divisors is an integer number (503639160864).

Almost surely, 210222221012101 is an apocalyptic number.

It is an amenable number.

10222221012101 is a deficient number, since it is larger than the sum of its proper divisors (1865118848635).

10222221012101 is an equidigital number, since it uses as much as digits as its factorization.

10222221012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353169 (or 353162 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10222221012101 its reverse (10121012222201), we get a palindrome (20343233234302).

The spelling of 10222221012101 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty-one million, twelve thousand, one hundred one".

Divisors: 1 7 49 61 427 2989 9967 69769 343127 488383 607987 2401889 4255909 16813223 20930747 29791363 146515229 1025606603 3419946809 23939627663 167577393641 208616755349 1460317287443 10222221012101