22100002102101 has 192 divisors, whose sum is σ = 40251354292224. Its totient is φ = 10470441984000.

The previous prime is 22100002102097. The next prime is 22100002102141. The reversal of 22100002102101 is 10120120000122.

It is not a de Polignac number, because 22100002102101 - 2² = 22100002102097 is a prime.

It is a super-2 number, since 2×22100002102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100002102141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 316870105 + ... + 316939841.

It is an arithmetic number, because the mean of its divisors is an integer number (209642470272).

Almost surely, 2^{22100002102101} is an apocalyptic number.

22100002102101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22100002102101 is a deficient number, since it is larger than the sum of its proper divisors (18151352190123).

22100002102101 is a wasteful number, since it uses less digits than its factorization.

22100002102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69940 (or 69923 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22100002102101 its reverse (10120120000122), we get a palindrome (32220122102223).

The spelling of 22100002102101 in words is "twenty-two trillion, one hundred billion, two million, one hundred two thousand, one hundred one".