1001100002100 has 72 divisors (see below), whose sum is σ = 3159835653408. Its totient is φ = 242690908800.

The previous prime is 1001100002093. The next prime is 1001100002117. The reversal of 1001100002100 is 12000011001.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151678519 + ... + 151685118.

Almost surely, 2^{1001100002100} is an apocalyptic number.

1001100002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001100002100 is an abundant number, since it is smaller than the sum of its proper divisors (2158735651308).

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

1001100002100 is a wasteful number, since it uses less digits than its factorization.

1001100002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303363665 (or 303363658 counting only the distinct ones).

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

Adding to 1001100002100 its reverse (12000011001), we get a palindrome (1013100013101).

The spelling of 1001100002100 in words is "one trillion, one billion, one hundred million, two thousand, one hundred".