10120121301120 has 512 divisors, whose sum is σ = 33293348352000. Its totient is φ = 2613588197376.

The previous prime is 10120121301109. The next prime is 10120121301197. The reversal of 10120121301120 is 2110312102101.

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 10120121301120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5306827207 + ... + 5306829113.

It is an arithmetic number, because the mean of its divisors is an integer number (65026071000).

Almost surely, 2^{10120121301120} is an apocalyptic number.

10120121301120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120121301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16646674176000).

10120121301120 is an abundant number, since it is smaller than the sum of its proper divisors (23173227050880).

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

10120121301120 is a wasteful number, since it uses less digits than its factorization.

10120121301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10120121301120 its reverse (2110312102101), we get a palindrome (12230433403221).

It can be divided in two parts, 1012012 and 1301120, that added together give a palindrome (2313132).

The spelling of 10120121301120 in words is "ten trillion, one hundred twenty billion, one hundred twenty-one million, three hundred one thousand, one hundred twenty".