10010120222120 has 64 divisors (see below), whose sum is σ = 22604788901520. Its totient is φ = 3989473275904.

The previous prime is 10010120222111. The next prime is 10010120222129. The reversal of 10010120222120 is 2122202101001.

It is an interprime number because it is at equal distance from previous prime (10010120222111) and next prime (10010120222129).

It can be written as a sum of positive squares in 8 ways, for example, as 9715177818724 + 294942403396 = 3116918^2 + 543086^2 .

It is a super-2 number, since 2×10010120222120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010120222095 and 10010120222104.

It is not an unprimeable number, because it can be changed into a prime (10010120222129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52562912 + ... + 52753008.

Almost surely, 2^{10010120222120} is an apocalyptic number.

10010120222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010120222120 is an abundant number, since it is smaller than the sum of its proper divisors (12594668679400).

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

10010120222120 is a wasteful number, since it uses less digits than its factorization.

10010120222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194894 (or 194890 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10010120222120 its reverse (2122202101001), we get a palindrome (12132322323121).

The spelling of 10010120222120 in words is "ten trillion, ten billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".