22102101102101 has 4 divisors (see below), whose sum is σ = 22308662794752. Its totient is φ = 21895539409452.

The previous prime is 22102101102023. The next prime is 22102101102113. The reversal of 22102101102101 is 10120110120122.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 22102101102101 - 2³⁸ = 21827223195157 is a prime.

It is a super-2 number, since 2×22102101102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102101102181) 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 3 ways as a sum of consecutive naturals, for example, 103280846165 + ... + 103280846378.

It is an arithmetic number, because the mean of its divisors is an integer number (5577165698688).

Almost surely, 2^{22102101102101} is an apocalyptic number.

It is an amenable number.

22102101102101 is a deficient number, since it is larger than the sum of its proper divisors (206561692651).

22102101102101 is a wasteful number, since it uses less digits than its factorization.

22102101102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206561692650.

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

Adding to 22102101102101 its reverse (10120110120122), we get a palindrome (32222211222223).

The spelling of 22102101102101 in words is "twenty-two trillion, one hundred two billion, one hundred one million, one hundred two thousand, one hundred one".