10120100200002 has 80 divisors (see below), whose sum is σ = 24443135656632. Its totient is φ = 3111037735680.

The previous prime is 10120100199973. The next prime is 10120100200019. The reversal of 10120100200002 is 20000200102101.

It can be written as a sum of positive squares in 4 ways, for example, as 3202879336281 + 6917220863721 = 1789659^2 + 2630061^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120052 + ... + 4500512.

Almost surely, 2^{10120100200002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120100200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221567828316).

10120100200002 is an abundant number, since it is smaller than the sum of its proper divisors (14323035456630).

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

10120100200002 is a wasteful number, since it uses less digits than its factorization.

10120100200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381585 (or 4381576 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10120100200002 its reverse (20000200102101), we get a palindrome (30120300302103).

The spelling of 10120100200002 in words is "ten trillion, one hundred twenty billion, one hundred million, two hundred thousand, two".