101053263101 has 32 divisors (see below), whose sum is σ = 119480594688. Its totient is φ = 83659806720.

The previous prime is 101053263097. The next prime is 101053263133. The reversal of 101053263101 is 101362350101.

It is not a de Polignac number, because 101053263101 - 2² = 101053263097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101053263161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31547966 + ... + 31551168.

It is an arithmetic number, because the mean of its divisors is an integer number (3733768584).

Almost surely, 2^101053263101 is an apocalyptic number.

It is an amenable number.

101053263101 is a deficient number, since it is larger than the sum of its proper divisors (18427331587).

101053263101 is a wasteful number, since it uses less digits than its factorization.

101053263101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101.

The product of its (nonzero) digits is 540, while the sum is 23.

The spelling of 101053263101 in words is "one hundred one billion, fifty-three million, two hundred sixty-three thousand, one hundred one".