101112202100021 has 16 divisors (see below), whose sum is σ = 115623248352768. Its totient is φ = 86617781276400.

The previous prime is 101112202100017. The next prime is 101112202100089. The reversal of 101112202100021 is 120001202211101.

It is a cyclic number.

It is not a de Polignac number, because 101112202100021 - 2² = 101112202100017 is a prime.

It is a super-2 number, since 2×101112202100021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112202099969 and 101112202100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112205100021) 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, 86998886 + ... + 88153448.

It is an arithmetic number, because the mean of its divisors is an integer number (7226453022048).

Almost surely, 2^{101112202100021} is an apocalyptic number.

It is an amenable number.

101112202100021 is a deficient number, since it is larger than the sum of its proper divisors (14511046252747).

101112202100021 is a wasteful number, since it uses less digits than its factorization.

101112202100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161752.

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

Adding to 101112202100021 its reverse (120001202211101), we get a palindrome (221113404311122).

The spelling of 101112202100021 in words is "one hundred one trillion, one hundred twelve billion, two hundred two million, one hundred thousand, twenty-one".