101112200202101 has 16 divisors (see below), whose sum is σ = 117137223109440. Its totient is φ = 86311638040320.

The previous prime is 101112200202023. The next prime is 101112200202113. The reversal of 101112200202101 is 101202002211101.

It is not a de Polignac number, because 101112200202101 - 2³⁰ = 101111126460277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112200202131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2140642010 + ... + 2140689243.

It is an arithmetic number, because the mean of its divisors is an integer number (7321076444340).

Almost surely, 2^{101112200202101} is an apocalyptic number.

101112200202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112200202101 is a deficient number, since it is larger than the sum of its proper divisors (16025022907339).

101112200202101 is a wasteful number, since it uses less digits than its factorization.

101112200202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281331396.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101112200202101 its reverse (101202002211101), we get a palindrome (202314202413202).

The spelling of 101112200202101 in words is "one hundred one trillion, one hundred twelve billion, two hundred million, two hundred two thousand, one hundred one".