2101000020111 has 24 divisors (see below), whose sum is σ = 3069090919440. Its totient is φ = 1384832059776.

The previous prime is 2101000020079. The next prime is 2101000020157. The reversal of 2101000020111 is 1110200001012.

It is a happy number.

It is not a de Polignac number, because 2101000020111 - 2⁵ = 2101000020079 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 = 2101000020093 and 2101000020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101000020191) 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, 12446205 + ... + 12613881.

It is an arithmetic number, because the mean of its divisors is an integer number (127878788310).

Almost surely, 2^{2101000020111} is an apocalyptic number.

2101000020111 is a deficient number, since it is larger than the sum of its proper divisors (968090899329).

2101000020111 is a wasteful number, since it uses less digits than its factorization.

2101000020111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183415 (or 183412 counting only the distinct ones).

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

Adding to 2101000020111 its reverse (1110200001012), we get a palindrome (3211200021123).

The spelling of 2101000020111 in words is "two trillion, one hundred one billion, twenty thousand, one hundred eleven".