2021133110100 has 144 divisors (see below), whose sum is σ = 6337757774208. Its totient is φ = 494340687360.

The previous prime is 2021133110077. The next prime is 2021133110107. The reversal of 2021133110100 is 10113311202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2021133110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021133110107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1038144 + ... + 2262743.

Almost surely, 2^{2021133110100} is an apocalyptic number.

2021133110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021133110100 is an abundant number, since it is smaller than the sum of its proper divisors (4316624664108).

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

2021133110100 is a wasteful number, since it uses less digits than its factorization.

2021133110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301074 (or 3301067 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2021133110100 its reverse (10113311202), we get a palindrome (2031246421302).

The spelling of 2021133110100 in words is "two trillion, twenty-one billion, one hundred thirty-three million, one hundred ten thousand, one hundred".