10100000120 has 256 divisors, whose sum is σ = 27948810240. Its totient is φ = 3210375168.

The previous prime is 10100000111. The next prime is 10100000129. The reversal of 10100000120 is 2100000101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100000111) and next prime (10100000129).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43347524 + ... + 43347756.

It is an arithmetic number, because the mean of its divisors is an integer number (109175040).

Almost surely, 2^10100000120 is an apocalyptic number.

10100000120 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 10100000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13974405120).

10100000120 is an abundant number, since it is smaller than the sum of its proper divisors (17848810120).

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

10100000120 is a wasteful number, since it uses less digits than its factorization.

10100000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10100000120 its reverse (2100000101), we get a palindrome (12200000221).

The spelling of 10100000120 in words is "ten billion, one hundred million, one hundred twenty", and thus it is an aban number.