101000012132131 has 64 divisors (see below), whose sum is σ = 128602069632000. Its totient is φ = 77320239575040.

The previous prime is 101000012132101. The next prime is 101000012132147. The reversal of 101000012132131 is 131231210000101.

It is a happy number.

It is not a de Polignac number, because 101000012132131 - 2⁷ = 101000012132003 is a prime.

It is a super-2 number, since 2×101000012132131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000012132101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1052814175 + ... + 1052910103.

It is an arithmetic number, because the mean of its divisors is an integer number (2009407338000).

Almost surely, 2^{101000012132131} is an apocalyptic number.

101000012132131 is a deficient number, since it is larger than the sum of its proper divisors (27602057499869).

101000012132131 is a wasteful number, since it uses less digits than its factorization.

101000012132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101212.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101000012132131 its reverse (131231210000101), we get a palindrome (232231222132232).

The spelling of 101000012132131 in words is "one hundred one trillion, twelve million, one hundred thirty-two thousand, one hundred thirty-one".