2101111110021 has 64 divisors (see below), whose sum is σ = 3536089030656. Its totient is φ = 1077954091200.

The previous prime is 2101111109987. The next prime is 2101111110079. The reversal of 2101111110021 is 1200111111012.

It is not a de Polignac number, because 2101111110021 - 2⁷ = 2101111109893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101111109979 and 2101111110006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101111110821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58785726 + ... + 58821456.

It is an arithmetic number, because the mean of its divisors is an integer number (55251391104).

Almost surely, 2^{2101111110021} is an apocalyptic number.

2101111110021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2101111110021 is a deficient number, since it is larger than the sum of its proper divisors (1434977920635).

2101111110021 is a wasteful number, since it uses less digits than its factorization.

2101111110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38902.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2101111110021 its reverse (1200111111012), we get a palindrome (3301222221033).

Subtracting from 2101111110021 its reverse (1200111111012), we obtain a palindrome (900999999009).

The spelling of 2101111110021 in words is "two trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, twenty-one".