2011102112021 has 32 divisors (see below), whose sum is σ = 2049848883840. Its totient is φ = 1972917264384.

The previous prime is 2011102111973. The next prime is 2011102112023. The reversal of 2011102112021 is 1202112011102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011102112021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011102111987 and 2011102112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011102112023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3534449825 + ... + 3534450393.

It is an arithmetic number, because the mean of its divisors is an integer number (64057777620).

Almost surely, 2^{2011102112021} is an apocalyptic number.

It is an amenable number.

2011102112021 is a deficient number, since it is larger than the sum of its proper divisors (38746771819).

2011102112021 is a wasteful number, since it uses less digits than its factorization.

2011102112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011102112021 its reverse (1202112011102), we get a palindrome (3213214123123).

The spelling of 2011102112021 in words is "two trillion, eleven billion, one hundred two million, one hundred twelve thousand, twenty-one".