101122660431 has 24 divisors (see below), whose sum is σ = 157437383376. Its totient is φ = 62175738240.

The previous prime is 101122660427. The next prime is 101122660469. The reversal of 101122660431 is 134066221101.

It is a happy number.

101122660431 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 26 + 604 + 31 = 666.

It is not a de Polignac number, because 101122660431 - 2² = 101122660427 is a prime.

It is a super-2 number, since 2×101122660431² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122660395 and 101122660404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122660631) 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, 235510 + ... + 507651.

It is an arithmetic number, because the mean of its divisors is an integer number (6559890974).

Almost surely, 2^101122660431 is an apocalyptic number.

101122660431 is a deficient number, since it is larger than the sum of its proper divisors (56314722945).

101122660431 is a wasteful number, since it uses less digits than its factorization.

101122660431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744343 (or 744340 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101122660431 its reverse (134066221101), we get a palindrome (235188881532).

The spelling of 101122660431 in words is "one hundred one billion, one hundred twenty-two million, six hundred sixty thousand, four hundred thirty-one".