2101112011021 has 4 divisors (see below), whose sum is σ = 2102633454844. Its totient is φ = 2099590567200.

The previous prime is 2101112010979. The next prime is 2101112011039. The reversal of 2101112011021 is 1201102111012.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 938195646025 + 1162916364996 = 968605^2 + 1078386^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101112011021 - 2⁹ = 2101112010509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101112010992 and 2101112011010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101112011051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 760719840 + ... + 760722601.

It is an arithmetic number, because the mean of its divisors is an integer number (525658363711).

Almost surely, 2^{2101112011021} is an apocalyptic number.

It is an amenable number.

2101112011021 is a deficient number, since it is larger than the sum of its proper divisors (1521443823).

2101112011021 is a wasteful number, since it uses less digits than its factorization.

2101112011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521443822.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2101112011021 its reverse (1201102111012), we get a palindrome (3302214122033).

Subtracting from 2101112011021 its reverse (1201102111012), we obtain a palindrome (900009900009).

The spelling of 2101112011021 in words is "two trillion, one hundred one billion, one hundred twelve million, eleven thousand, twenty-one".