21100220311311 has 12 divisors (see below), whose sum is σ = 30481114068600. Its totient is φ = 14065420588560.

The previous prime is 21100220311283. The next prime is 21100220311351. The reversal of 21100220311311 is 11311302200112.

21100220311311 is a `hidden beast` number, since 2 + 1 + 100 + 220 + 31 + 1 + 311 = 666.

It is not a de Polignac number, because 21100220311311 - 2²² = 21100216117007 is a prime.

It is a super-2 number, since 2×21100220311311² (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 (21100220311351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115983420 + ... + 116165201.

It is an arithmetic number, because the mean of its divisors is an integer number (2540092839050).

Almost surely, 2^{21100220311311} is an apocalyptic number.

21100220311311 is a deficient number, since it is larger than the sum of its proper divisors (9380893757289).

21100220311311 is a wasteful number, since it uses less digits than its factorization.

21100220311311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232158726 (or 232158723 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21100220311311 its reverse (11311302200112), we get a palindrome (32411522511423).

The spelling of 21100220311311 in words is "twenty-one trillion, one hundred billion, two hundred twenty million, three hundred eleven thousand, three hundred eleven".