10012120102111 has 24 divisors (see below), whose sum is σ = 10709805591072. Its totient is φ = 9342055852800.

The previous prime is 10012120102109. The next prime is 10012120102121. The reversal of 10012120102111 is 11120102121001.

It is a happy number.

It is not a de Polignac number, because 10012120102111 - 2¹ = 10012120102109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012120102091 and 10012120102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012120102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536517121 + ... + 536535781.

It is an arithmetic number, because the mean of its divisors is an integer number (446241899628).

Almost surely, 2^{10012120102111} is an apocalyptic number.

10012120102111 is a deficient number, since it is larger than the sum of its proper divisors (697685488961).

10012120102111 is a wasteful number, since it uses less digits than its factorization.

10012120102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32643 (or 32602 counting only the distinct ones).

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

Adding to 10012120102111 its reverse (11120102121001), we get a palindrome (21132222223112).

The spelling of 10012120102111 in words is "ten trillion, twelve billion, one hundred twenty million, one hundred two thousand, one hundred eleven".