10122111122101 has 32 divisors (see below), whose sum is σ = 11187192145536. Its totient is φ = 9081784800000.

The previous prime is 10122111122029. The next prime is 10122111122143.

10122111122101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10122111122101 - 2⁹ = 10122111121589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122111122171) 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, 1022327251 + ... + 1022337151.

It is an arithmetic number, because the mean of its divisors is an integer number (349599754548).

Almost surely, 2^{10122111122101} is an apocalyptic number.

10122111122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122111122101 is a deficient number, since it is larger than the sum of its proper divisors (1065081023435).

10122111122101 is a wasteful number, since it uses less digits than its factorization.

10122111122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12853.

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

It can be divided in two parts, 1012211 and 1122101, that added together give a palindrome (2134312).

The spelling of 10122111122101 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred one".