22100100011121 has 64 divisors (see below), whose sum is σ = 33638147389440. Its totient is φ = 12775444746240.

The previous prime is 22100100011107. The next prime is 22100100011123. The reversal of 22100100011121 is 12111000100122.

It is not a de Polignac number, because 22100100011121 - 2¹⁴ = 22100099994737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22100100011097 and 22100100011106.

It is not an unprimeable number, because it can be changed into a prime (22100100011123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458550801 + ... + 458598993.

It is an arithmetic number, because the mean of its divisors is an integer number (525596052960).

Almost surely, 2^{22100100011121} is an apocalyptic number.

It is an amenable number.

22100100011121 is a deficient number, since it is larger than the sum of its proper divisors (11538047378319).

22100100011121 is a wasteful number, since it uses less digits than its factorization.

22100100011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49926.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22100100011121 its reverse (12111000100122), we get a palindrome (34211100111243).

The spelling of 22100100011121 in words is "twenty-two trillion, one hundred billion, one hundred million, eleven thousand, one hundred twenty-one".