2021002100100 has 54 divisors (see below), whose sum is σ = 6334718807690. Its totient is φ = 538933893120.

The previous prime is 2021002100099. The next prime is 2021002100111. The reversal of 2021002100100 is 10012001202.

It can be written as a sum of positive squares in 3 ways, for example, as 112360380804 + 1908641719296 = 335202^2 + 1381536^2 .

It is a super-2 number, since 2×2021002100100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1122778045 + ... + 1122779844.

Almost surely, 2^{2021002100100} is an apocalyptic number.

2021002100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021002100100 is an abundant number, since it is smaller than the sum of its proper divisors (4313716707590).

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

2021002100100 is a wasteful number, since it uses less digits than its factorization.

2021002100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245557909 (or 2245557899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2021002100100 its reverse (10012001202), we get a palindrome (2031014101302).

The spelling of 2021002100100 in words is "two trillion, twenty-one billion, two million, one hundred thousand, one hundred".