10120212210120 has 128 divisors (see below), whose sum is σ = 30407331363840. Its totient is φ = 2694575037440.

The previous prime is 10120212210091. The next prime is 10120212210127. The reversal of 10120212210120 is 2101221202101.

It is a super-3 number, since 3×10120212210120³ (a number of 40 digits) contains 333 as substring.

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 10120212210120.

It is not an unprimeable number, because it can be changed into a prime (10120212210127) 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, 296268082 + ... + 296302238.

It is an arithmetic number, because the mean of its divisors is an integer number (237557276280).

Almost surely, 2^{10120212210120} is an apocalyptic number.

10120212210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120212210120 is an abundant number, since it is smaller than the sum of its proper divisors (20287119153720).

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

10120212210120 is a wasteful number, since it uses less digits than its factorization.

10120212210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37895 (or 37891 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10120212210120 its reverse (2101221202101), we get a palindrome (12221433412221).

The spelling of 10120212210120 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, two hundred ten thousand, one hundred twenty".