2100020100111 has 24 divisors (see below), whose sum is σ = 3119439261744. Its totient is φ = 1360385055360.

The previous prime is 2100020100077. The next prime is 2100020100179. The reversal of 2100020100111 is 1110010200012.

It is a happy number.

It is not a de Polignac number, because 2100020100111 - 2¹⁰ = 2100020099087 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100020100093 and 2100020100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100020100011) 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, 3890061 + ... + 4396886.

It is an arithmetic number, because the mean of its divisors is an integer number (129976635906).

Almost surely, 2^{2100020100111} is an apocalyptic number.

2100020100111 is a deficient number, since it is larger than the sum of its proper divisors (1019419161633).

2100020100111 is a wasteful number, since it uses less digits than its factorization.

2100020100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8287751 (or 8287748 counting only the distinct ones).

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

Adding to 2100020100111 its reverse (1110010200012), we get a palindrome (3210030300123).

Subtracting from 2100020100111 its reverse (1110010200012), we obtain a palindrome (990009900099).

The spelling of 2100020100111 in words is "two trillion, one hundred billion, twenty million, one hundred thousand, one hundred eleven".