2001002100 has 72 divisors (see below), whose sum is σ = 6094297440. Its totient is φ = 505514880.

The previous prime is 2001002077. The next prime is 2001002137. The reversal of 2001002100 is 12001002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 169827 + ... + 181226.

It is an arithmetic number, because the mean of its divisors is an integer number (84643020).

Almost surely, 2^2001002100 is an apocalyptic number.

2001002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001002100 is an abundant number, since it is smaller than the sum of its proper divisors (4093295340).

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

2001002100 is a wasteful number, since it uses less digits than its factorization.

2001002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351089 (or 351082 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2001002100 is about 44732.5619655302. The cubic root of 2001002100 is about 1260.1314425737.

Adding to 2001002100 its reverse (12001002), we get a palindrome (2013003102).

The spelling of 2001002100 in words is "two billion, one million, two thousand, one hundred".