21122100111013 has 16 divisors (see below), whose sum is σ = 24270025075200. Its totient is φ = 18180045978480.

The previous prime is 21122100111011. The next prime is 21122100111103. The reversal of 21122100111013 is 31011100122112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21122100111013 - 2¹ = 21122100111011 is a prime.

It is a super-2 number, since 2×21122100111013² (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 (21122100111011) 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, 30873081 + ... + 31549822.

It is an arithmetic number, because the mean of its divisors is an integer number (1516876567200).

Almost surely, 2^{21122100111013} is an apocalyptic number.

It is an amenable number.

21122100111013 is a deficient number, since it is larger than the sum of its proper divisors (3147924964187).

21122100111013 is a wasteful number, since it uses less digits than its factorization.

21122100111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62424552.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 21122100111013 its reverse (31011100122112), we get a palindrome (52133200233125).

The spelling of 21122100111013 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred million, one hundred eleven thousand, thirteen".