21101031121131 has 96 divisors (see below), whose sum is σ = 34233150474432. Its totient is φ = 12911454535680.

The previous prime is 21101031121063. The next prime is 21101031121223. The reversal of 21101031121131 is 13112113010112.

21101031121131 is a `hidden beast` number, since 2 + 110 + 1 + 0 + 311 + 211 + 31 = 666.

It is not a de Polignac number, because 21101031121131 - 2¹⁵ = 21101031088363 is a prime.

It is a super-2 number, since 2×21101031121131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21101031191131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1390688461 + ... + 1390703633.

It is an arithmetic number, because the mean of its divisors is an integer number (356595317442).

Almost surely, 2^{21101031121131} is an apocalyptic number.

21101031121131 is a deficient number, since it is larger than the sum of its proper divisors (13132119353301).

21101031121131 is a wasteful number, since it uses less digits than its factorization.

21101031121131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17675 (or 17663 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 21101031121131 its reverse (13112113010112), we get a palindrome (34213144131243).

The spelling of 21101031121131 in words is "twenty-one trillion, one hundred one billion, thirty-one million, one hundred twenty-one thousand, one hundred thirty-one".