2010011000100 has 72 divisors (see below), whose sum is σ = 5820252167520. Its totient is φ = 535577095680.

The previous prime is 2010011000093. The next prime is 2010011000117. The reversal of 2010011000100 is 10001100102.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2283157 + ... + 3038556.

It is an arithmetic number, because the mean of its divisors is an integer number (80836835660).

Almost surely, 2^{2010011000100} is an apocalyptic number.

2010011000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010011000100 is an abundant number, since it is smaller than the sum of its proper divisors (3810241167420).

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

2010011000100 is a wasteful number, since it uses less digits than its factorization.

2010011000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322989 (or 5322982 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 2010011000100 its reverse (10001100102), we get a palindrome (2020012100202).

The spelling of 2010011000100 in words is "two trillion, ten billion, eleven million, one hundred", and thus it is an aban number.