10002002011122 has 64 divisors (see below), whose sum is σ = 21878257978368. Its totient is φ = 3023182008000.

The previous prime is 10002002011121. The next prime is 10002002011193. The reversal of 10002002011122 is 22111020020001.

10002002011122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10002002011122² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002002011098 and 10002002011107.

It is not an unprimeable number, because it can be changed into a prime (10002002011121) 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, 42067797 + ... + 42304887.

It is an arithmetic number, because the mean of its divisors is an integer number (341847780912).

Almost surely, 2^{10002002011122} is an apocalyptic number.

10002002011122 is an abundant number, since it is smaller than the sum of its proper divisors (11876255967246).

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

10002002011122 is a wasteful number, since it uses less digits than its factorization.

10002002011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238735.

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

Adding to 10002002011122 its reverse (22111020020001), we get a palindrome (32113022031123).

The spelling of 10002002011122 in words is "ten trillion, two billion, two million, eleven thousand, one hundred twenty-two".