10253120120120 has 64 divisors (see below), whose sum is σ = 23250195793440. Its totient is φ = 4069140275200.

The previous prime is 10253120120081. The next prime is 10253120120123. The reversal of 10253120120120 is 2102102135201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10253120120092 and 10253120120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253120120123) 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, 26811860 + ... + 27191580.

Almost surely, 2^{10253120120120} is an apocalyptic number.

10253120120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10253120120120 is an abundant number, since it is smaller than the sum of its proper divisors (12997075673320).

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

10253120120120 is a wasteful number, since it uses less digits than its factorization.

10253120120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385016 (or 385012 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10253120120120 its reverse (2102102135201), we get a palindrome (12355222255321).

The spelling of 10253120120120 in words is "ten trillion, two hundred fifty-three billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty".