10121120210120 has 32 divisors (see below), whose sum is σ = 24112080502200. Its totient is φ = 3810304078848.

The previous prime is 10121120210093. The next prime is 10121120210129. The reversal of 10121120210120 is 2101202112101.

It can be written as a sum of positive squares in 4 ways, for example, as 9273766821796 + 847353388324 = 3045286^2 + 920518^2 .

It is a super-3 number, since 3×10121120210120³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121120210095 and 10121120210104.

It is not an unprimeable number, because it can be changed into a prime (10121120210129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7441999475 + ... + 7442000834.

Almost surely, 2^{10121120210120} is an apocalyptic number.

10121120210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121120210120 is an abundant number, since it is smaller than the sum of its proper divisors (13990960292080).

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

10121120210120 is a wasteful number, since it uses less digits than its factorization.

10121120210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14884000337 (or 14884000333 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10121120210120 its reverse (2101202112101), we get a palindrome (12222322322221).

The spelling of 10121120210120 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, two hundred ten thousand, one hundred twenty".