10102013221122 has 24 divisors (see below), whose sum is σ = 21984116886576. Its totient is φ = 3352503652056.

The previous prime is 10102013221039. The next prime is 10102013221133. The reversal of 10102013221122 is 22112231020101.

10102013221122 is a `hidden beast` number, since 10 + 10 + 201 + 322 + 1 + 122 = 666.

It is a super-2 number, since 2×10102013221122² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10102013221095 and 10102013221104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1236169828 + ... + 1236177999.

It is an arithmetic number, because the mean of its divisors is an integer number (916004870274).

Almost surely, 2^{10102013221122} is an apocalyptic number.

10102013221122 is an abundant number, since it is smaller than the sum of its proper divisors (11882103665454).

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

10102013221122 is a wasteful number, since it uses less digits than its factorization.

10102013221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472348062 (or 2472348059 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10102013221122 its reverse (22112231020101), we get a palindrome (32214244241223).

The spelling of 10102013221122 in words is "ten trillion, one hundred two billion, thirteen million, two hundred twenty-one thousand, one hundred twenty-two".