2100400100 has 36 divisors (see below), whose sum is σ = 4622079168. Its totient is φ = 828324000.

The previous prime is 2100400079. The next prime is 2100400109. The reversal of 2100400100 is 10040012.

2100400100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2100400100³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100400109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140816 + ... + 155015.

It is an arithmetic number, because the mean of its divisors is an integer number (128391088).

Almost surely, 2^2100400100 is an apocalyptic number.

2100400100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100400100 is an abundant number, since it is smaller than the sum of its proper divisors (2521679068).

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

2100400100 is a wasteful number, since it uses less digits than its factorization.

2100400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295916 (or 295909 counting only the distinct ones).

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

The square root of 2100400100 is about 45830.1221905419. The cubic root of 2100400100 is about 1280.6604867634.

Adding to 2100400100 its reverse (10040012), we get a palindrome (2110440112).

The spelling of 2100400100 in words is "two billion, one hundred million, four hundred thousand, one hundred".