101110100103131 has 64 divisors (see below), whose sum is σ = 126479359733760. Its totient is φ = 78855440025600.

The previous prime is 101110100103127. The next prime is 101110100103139. The reversal of 101110100103131 is 131301001011101.

It is not a de Polignac number, because 101110100103131 - 2² = 101110100103127 is a prime.

It is a super-2 number, since 2×101110100103131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101110100103139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1606752590 + ... + 1606815516.

It is an arithmetic number, because the mean of its divisors is an integer number (1976239995840).

Almost surely, 2^{101110100103131} is an apocalyptic number.

101110100103131 is a deficient number, since it is larger than the sum of its proper divisors (25369259630629).

101110100103131 is a wasteful number, since it uses less digits than its factorization.

101110100103131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66204.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 101110100103131 its reverse (131301001011101), we get a palindrome (232411101114232).

The spelling of 101110100103131 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred three thousand, one hundred thirty-one".