10012102010100 has 216 divisors, whose sum is σ = 32515072131360. Its totient is φ = 2573815184640.

The previous prime is 10012102010093. The next prime is 10012102010117. The reversal of 10012102010100 is 101020121001.

It is a happy number.

10012102010100 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 (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16484007 + ... + 17080593.

Almost surely, 2^{10012102010100} is an apocalyptic number.

10012102010100 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 10012102010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257536065680).

10012102010100 is an abundant number, since it is smaller than the sum of its proper divisors (22502970121260).

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

10012102010100 is a wasteful number, since it uses less digits than its factorization.

10012102010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597279 (or 597269 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10012102010100 its reverse (101020121001), we get a palindrome (10113122131101).

The spelling of 10012102010100 in words is "ten trillion, twelve billion, one hundred two million, ten thousand, one hundred".