21011100131101 has 16 divisors (see below), whose sum is σ = 21547252584000. Its totient is φ = 20477113872768.

The previous prime is 21011100131093. The next prime is 21011100131113. The reversal of 21011100131101 is 10113100111012.

It is a cyclic number.

It is not a de Polignac number, because 21011100131101 - 2³ = 21011100131093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011100131141) 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, 404586105 + ... + 404638033.

It is an arithmetic number, because the mean of its divisors is an integer number (1346703286500).

Almost surely, 2^{21011100131101} is an apocalyptic number.

It is an amenable number.

21011100131101 is a deficient number, since it is larger than the sum of its proper divisors (536152452899).

21011100131101 is a wasteful number, since it uses less digits than its factorization.

21011100131101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72588.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 21011100131101 its reverse (10113100111012), we get a palindrome (31124200242113).

The spelling of 21011100131101 in words is "twenty-one trillion, eleven billion, one hundred million, one hundred thirty-one thousand, one hundred one".