10122011022101 has 16 divisors (see below), whose sum is σ = 11072686348800. Its totient is φ = 9176443622400.

The previous prime is 10122011022061. The next prime is 10122011022107.

10122011022101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10122011022101 - 2¹⁸ = 10122010759957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122011022107) 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 15 ways as a sum of consecutive naturals, for example, 7200461 + ... + 8490621.

It is an arithmetic number, because the mean of its divisors is an integer number (692042896800).

Almost surely, 2^{10122011022101} is an apocalyptic number.

10122011022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122011022101 is a deficient number, since it is larger than the sum of its proper divisors (950675326699).

10122011022101 is a wasteful number, since it uses less digits than its factorization.

10122011022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292140.

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

It can be divided in two parts, 1012201 and 1022101, that added together give a palindrome (2034302).

The spelling of 10122011022101 in words is "ten trillion, one hundred twenty-two billion, eleven million, twenty-two thousand, one hundred one".