101232000232101 has 48 divisors (see below), whose sum is σ = 151694645097840. Its totient is φ = 65000249625600.

The previous prime is 101232000232079. The next prime is 101232000232109.

101232000232101 is a `hidden beast` number, since 1 + 0 + 12 + 320 + 0 + 0 + 232 + 101 = 666.

101232000232101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 22886665568001 + 78345334664100 = 4784001^2 + 8851290^2 .

It is not a de Polignac number, because 101232000232101 - 2¹⁵ = 101232000199333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101232000232109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161562945 + ... + 162188313.

It is an arithmetic number, because the mean of its divisors is an integer number (3160305106205).

Almost surely, 2^{101232000232101} is an apocalyptic number.

It is an amenable number.

101232000232101 is a deficient number, since it is larger than the sum of its proper divisors (50462644865739).

101232000232101 is a wasteful number, since it uses less digits than its factorization.

101232000232101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630326 (or 630323 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 101232000 and 232101, that added together give a palindrome (101464101).

The spelling of 101232000232101 in words is "one hundred one trillion, two hundred thirty-two billion, two hundred thirty-two thousand, one hundred one".