101222002100021 has 24 divisors (see below), whose sum is σ = 111750253776000. Its totient is φ = 91615148609600.

The previous prime is 101222002099969. The next prime is 101222002100123. The reversal of 101222002100021 is 120001200222101.

It is a de Polignac number, because none of the positive numbers 2^k-101222002100021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101222002099969 and 101222002100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222002100221) 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, 134067986 + ... + 134820876.

It is an arithmetic number, because the mean of its divisors is an integer number (4656260574000).

Almost surely, 2^{101222002100021} is an apocalyptic number.

101222002100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101222002100021 is a deficient number, since it is larger than the sum of its proper divisors (10528251675979).

101222002100021 is a wasteful number, since it uses less digits than its factorization.

101222002100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757801 (or 757790 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101222002100021 its reverse (120001200222101), we get a palindrome (221223202322122).

It can be divided in two parts, 10122200 and 2100021, that added together give a palindrome (12222221).

The spelling of 101222002100021 in words is "one hundred one trillion, two hundred twenty-two billion, two million, one hundred thousand, twenty-one".