101022288131 has 16 divisors (see below), whose sum is σ = 105709183488. Its totient is φ = 96360264000.

The previous prime is 101022288119. The next prime is 101022288193. The reversal of 101022288131 is 131882220101.

It is a cyclic number.

It is not a de Polignac number, because 101022288131 - 2²⁶ = 100955179267 is a prime.

It is a super-2 number, since 2×101022288131² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101022288094 and 101022288103.

It is not an unprimeable number, because it can be changed into a prime (101022281131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20336210 + ... + 20341176.

It is an arithmetic number, because the mean of its divisors is an integer number (6606823968).

Almost surely, 2^101022288131 is an apocalyptic number.

101022288131 is a deficient number, since it is larger than the sum of its proper divisors (4686895357).

101022288131 is a wasteful number, since it uses less digits than its factorization.

101022288131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282.

The product of its (nonzero) digits is 1536, while the sum is 29.

The spelling of 101022288131 in words is "one hundred one billion, twenty-two million, two hundred eighty-eight thousand, one hundred thirty-one".