2100111020001 has 24 divisors (see below), whose sum is σ = 3212500023720. Its totient is φ = 1317484709376.

The previous prime is 2100111019997. The next prime is 2100111020003. The reversal of 2100111020001 is 1000201110012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 371582899776 + 1728528120225 = 609576^2 + 1314735^2 .

It is not a de Polignac number, because 2100111020001 - 2² = 2100111019997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2100111020003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334506 + ... + 2076563.

It is an arithmetic number, because the mean of its divisors is an integer number (133854167655).

Almost surely, 2^{2100111020001} is an apocalyptic number.

It is an amenable number.

2100111020001 is a deficient number, since it is larger than the sum of its proper divisors (1112389003719).

2100111020001 is a wasteful number, since it uses less digits than its factorization.

2100111020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416785 (or 2416782 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2100111020001 its reverse (1000201110012), we get a palindrome (3100312130013).

The spelling of 2100111020001 in words is "two trillion, one hundred billion, one hundred eleven million, twenty thousand, one".