10120511255100 has 144 divisors (see below), whose sum is σ = 29331485164800. Its totient is φ = 2694245926400.

The previous prime is 10120511255051. The next prime is 10120511255119. The reversal of 10120511255100 is 155211502101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 865069051 + ... + 865080749.

It is an arithmetic number, because the mean of its divisors is an integer number (203690869200).

Almost surely, 2^{10120511255100} is an apocalyptic number.

10120511255100 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 10120511255100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14665742582400).

10120511255100 is an abundant number, since it is smaller than the sum of its proper divisors (19210973909700).

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

10120511255100 is a wasteful number, since it uses less digits than its factorization.

10120511255100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16340 (or 16333 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 24.

Adding to 10120511255100 its reverse (155211502101), we get a palindrome (10275722757201).

The spelling of 10120511255100 in words is "ten trillion, one hundred twenty billion, five hundred eleven million, two hundred fifty-five thousand, one hundred".