10010120010200 has 96 divisors (see below), whose sum is σ = 23492745653760. Its totient is φ = 3966430003200.

The previous prime is 10010120010119. The next prime is 10010120010217. The reversal of 10010120010200 is 201002101001.

10010120010200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 16284440 + ... + 16887960.

It is an arithmetic number, because the mean of its divisors is an integer number (244716100560).

Almost surely, 2^{10010120010200} is an apocalyptic number.

10010120010200 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 10010120010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11746372826880).

10010120010200 is an abundant number, since it is smaller than the sum of its proper divisors (13482625643560).

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

10010120010200 is a wasteful number, since it uses less digits than its factorization.

10010120010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604317 (or 604308 counting only the distinct ones).

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

Adding to 10010120010200 its reverse (201002101001), we get a palindrome (10211122111201).

The spelling of 10010120010200 in words is "ten trillion, ten billion, one hundred twenty million, ten thousand, two hundred".