101012111202101 has 24 divisors (see below), whose sum is σ = 111094984566720. Its totient is φ = 91775324013120.

The previous prime is 101012111202083. The next prime is 101012111202127. The reversal of 101012111202101 is 101202111210101.

It is a de Polignac number, because none of the positive numbers 2^k-101012111202101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012111208101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3403014206 + ... + 3403043888.

It is an arithmetic number, because the mean of its divisors is an integer number (4628957690280).

Almost surely, 2^{101012111202101} is an apocalyptic number.

101012111202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012111202101 is a deficient number, since it is larger than the sum of its proper divisors (10082873364619).

101012111202101 is a wasteful number, since it uses less digits than its factorization.

101012111202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45257 (or 45246 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101012111202101 its reverse (101202111210101), we get a palindrome (202214222412202).

The spelling of 101012111202101 in words is "one hundred one trillion, twelve billion, one hundred eleven million, two hundred two thousand, one hundred one".