22100212121001 has 16 divisors (see below), whose sum is σ = 34102798694400. Its totient is φ = 12468835770768.

The previous prime is 22100212120991. The next prime is 22100212121011. The reversal of 22100212121001 is 10012121200122.

It is an interprime number because it is at equal distance from previous prime (22100212120991) and next prime (22100212121011).

It is not a de Polignac number, because 22100212121001 - 2¹⁴ = 22100212104617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22100212121011) 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, 6660701211 + ... + 6660704528.

It is an arithmetic number, because the mean of its divisors is an integer number (2131424918400).

Almost surely, 2^{22100212121001} is an apocalyptic number.

22100212121001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22100212121001 is a deficient number, since it is larger than the sum of its proper divisors (12002586573399).

22100212121001 is a wasteful number, since it uses less digits than its factorization.

22100212121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13321405828.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22100212121001 its reverse (10012121200122), we get a palindrome (32112333321123).

The spelling of 22100212121001 in words is "twenty-two trillion, one hundred billion, two hundred twelve million, one hundred twenty-one thousand, one".