10022120202120 has 128 divisors (see below), whose sum is σ = 33132161462400. Its totient is φ = 2409611710464.

The previous prime is 10022120202047. The next prime is 10022120202131. The reversal of 10022120202120 is 2120202122001.

10022120202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10022120202120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74635665 + ... + 74769824.

It is an arithmetic number, because the mean of its divisors is an integer number (258845011425).

Almost surely, 2^{10022120202120} is an apocalyptic number.

10022120202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022120202120 is an abundant number, since it is smaller than the sum of its proper divisors (23110041260280).

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

10022120202120 is a wasteful number, since it uses less digits than its factorization.

10022120202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149405559 (or 149405555 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10022120202120 its reverse (2120202122001), we get a palindrome (12142322324121).

The spelling of 10022120202120 in words is "ten trillion, twenty-two billion, one hundred twenty million, two hundred two thousand, one hundred twenty".