10120010200100 has 72 divisors (see below), whose sum is σ = 22132742663808. Its totient is φ = 4016305152000.

The previous prime is 10120010200087. The next prime is 10120010200121. The reversal of 10120010200100 is 100201002101.

10120010200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12020132 + ... + 12834468.

It is an arithmetic number, because the mean of its divisors is an integer number (307399203664).

Almost surely, 2^{10120010200100} is an apocalyptic number.

10120010200100 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 10120010200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11066371331904).

10120010200100 is an abundant number, since it is smaller than the sum of its proper divisors (12012732463708).

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

10120010200100 is a wasteful number, since it uses less digits than its factorization.

10120010200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815325 (or 815318 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120010200100 its reverse (100201002101), we get a palindrome (10220211202201).

The spelling of 10120010200100 in words is "ten trillion, one hundred twenty billion, ten million, two hundred thousand, one hundred".