10021012112111 has 32 divisors (see below), whose sum is σ = 13455222025728. Its totient is φ = 7207686944640.

The previous prime is 10021012112093. The next prime is 10021012112117. The reversal of 10021012112111 is 11121121012001.

It is not a de Polignac number, because 10021012112111 - 2²⁶ = 10020945003247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021012112117) 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 31 ways as a sum of consecutive naturals, for example, 34372325 + ... + 34662641.

It is an arithmetic number, because the mean of its divisors is an integer number (420475688304).

Almost surely, 2^{10021012112111} is an apocalyptic number.

10021012112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10021012112111 is a deficient number, since it is larger than the sum of its proper divisors (3434209913617).

10021012112111 is a wasteful number, since it uses less digits than its factorization.

10021012112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324831.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10021012112111 its reverse (11121121012001), we get a palindrome (21142133124112).

The spelling of 10021012112111 in words is "ten trillion, twenty-one billion, twelve million, one hundred twelve thousand, one hundred eleven".