2900200112100 has 108 divisors (see below), whose sum is σ = 9312236153220. Its totient is φ = 754523596800.

The previous prime is 2900200112009. The next prime is 2900200112111. The reversal of 2900200112100 is 12110020092.

It can be written as a sum of positive squares in 6 ways, for example, as 146246586084 + 2753953526016 = 382422^2 + 1659504^2 .

It is a super-2 number, since 2×2900200112100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39261205 + ... + 39335004.

Almost surely, 2^{2900200112100} is an apocalyptic number.

2900200112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2900200112100 is an abundant number, since it is smaller than the sum of its proper divisors (6412036041120).

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

2900200112100 is a wasteful number, since it uses less digits than its factorization.

2900200112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78596270 (or 78596260 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2900200112100 its reverse (12110020092), we get a palindrome (2912310132192).

The spelling of 2900200112100 in words is "two trillion, nine hundred billion, two hundred million, one hundred twelve thousand, one hundred".