21100111020001 has 48 divisors (see below), whose sum is σ = 23445427104000. Its totient is φ = 18974167392960.

The previous prime is 21100111019927. The next prime is 21100111020067. The reversal of 21100111020001 is 10002011100112.

It is not a de Polignac number, because 21100111020001 - 2²⁵ = 21100077465569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21100111020001.

It is not an unprimeable number, because it can be changed into a prime (21100111020301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965271610 + ... + 965293468.

It is an arithmetic number, because the mean of its divisors is an integer number (488446398000).

Almost surely, 2^{21100111020001} is an apocalyptic number.

It is an amenable number.

21100111020001 is a deficient number, since it is larger than the sum of its proper divisors (2345316083999).

21100111020001 is a wasteful number, since it uses less digits than its factorization.

21100111020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22814 (or 22801 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21100111020001 its reverse (10002011100112), we get a palindrome (31102122120113).

The spelling of 21100111020001 in words is "twenty-one trillion, one hundred billion, one hundred eleven million, twenty thousand, one".