10001002120122 has 96 divisors (see below), whose sum is σ = 23329130457600. Its totient is φ = 2847474616896.

The previous prime is 10001002120111. The next prime is 10001002120159. The reversal of 10001002120122 is 22102120010001.

It is a junction number, because it is equal to n+sod(n) for n = 10001002120098 and 10001002120107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5207622 + ... + 6864497.

It is an arithmetic number, because the mean of its divisors is an integer number (243011775600).

Almost surely, 2^{10001002120122} is an apocalyptic number.

10001002120122 is an abundant number, since it is smaller than the sum of its proper divisors (13328128337478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001002120122 is a wasteful number, since it uses less digits than its factorization.

10001002120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12072212 (or 12072199 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001002120122 its reverse (22102120010001), we get a palindrome (32103122130123).

The spelling of 10001002120122 in words is "ten trillion, one billion, two million, one hundred twenty thousand, one hundred twenty-two".