101012203132113 has 48 divisors (see below), whose sum is σ = 176478781332096. Its totient is φ = 50146976056320.

The previous prime is 101012203132097. The next prime is 101012203132123. The reversal of 101012203132113 is 311231302210101.

It is not a de Polignac number, because 101012203132113 - 2⁴ = 101012203132097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101012203132113.

It is not an unprimeable number, because it can be changed into a prime (101012203132123) 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, 837061998 + ... + 837182663.

It is an arithmetic number, because the mean of its divisors is an integer number (3676641277752).

Almost surely, 2^{101012203132113} is an apocalyptic number.

101012203132113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101012203132113 is a deficient number, since it is larger than the sum of its proper divisors (75466578199983).

101012203132113 is a wasteful number, since it uses less digits than its factorization.

101012203132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674244714 (or 1674244701 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101012203132113 its reverse (311231302210101), we get a palindrome (412243505342214).

The spelling of 101012203132113 in words is "one hundred one trillion, twelve billion, two hundred three million, one hundred thirty-two thousand, one hundred thirteen".