21100102022013 has 64 divisors (see below), whose sum is σ = 34655071518720. Its totient is φ = 11160615513600.

The previous prime is 21100102021969. The next prime is 21100102022081. The reversal of 21100102022013 is 31022020100112.

It is not a de Polignac number, because 21100102022013 - 2⁶ = 21100102021949 is a prime.

It is a super-2 number, since 2×21100102022013² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21100102021983 and 21100102022001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100102022213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3202608 + ... + 7242713.

It is an arithmetic number, because the mean of its divisors is an integer number (541485492480).

Almost surely, 2^{21100102022013} is an apocalyptic number.

It is an amenable number.

21100102022013 is a deficient number, since it is larger than the sum of its proper divisors (13554969496707).

21100102022013 is a wasteful number, since it uses less digits than its factorization.

21100102022013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10445498.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21100102022013 its reverse (31022020100112), we get a palindrome (52122122122125).

The spelling of 21100102022013 in words is "twenty-one trillion, one hundred billion, one hundred two million, twenty-two thousand, thirteen".