10010122122121 has 48 divisors (see below), whose sum is σ = 11346374816784. Its totient is φ = 8821612800000.

The previous prime is 10010122122097. The next prime is 10010122122157. The reversal of 10010122122121 is 12122122101001.

10010122122121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3885586073721 + 6124536048400 = 1971189^2 + 2474780^2 .

It is not a de Polignac number, because 10010122122121 - 2³⁵ = 9975762383753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010122122095 and 10010122122104.

It is not an unprimeable number, because it can be changed into a prime (10010122122181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122181271 + ... + 122263171.

It is an arithmetic number, because the mean of its divisors is an integer number (236382808683).

Almost surely, 2^{10010122122121} is an apocalyptic number.

10010122122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010122122121 is a deficient number, since it is larger than the sum of its proper divisors (1336252694663).

10010122122121 is a wasteful number, since it uses less digits than its factorization.

10010122122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82234 (or 82223 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10010122122121 its reverse (12122122101001), we get a palindrome (22132244223122).

It can be divided in two parts, 100101 and 22122121, that added together give a palindrome (22222222).

The spelling of 10010122122121 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".