2100021010100 has 72 divisors (see below), whose sum is σ = 4909266307680. Its totient is φ = 775127134080.

The previous prime is 2100021010097. The next prime is 2100021010141. The reversal of 2100021010100 is 10101200012.

It is a super-2 number, since 2×2100021010100² (a number of 25 digits) contains 22 as substring.

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, 3545879 + ... + 4095521.

Almost surely, 2^{2100021010100} is an apocalyptic number.

2100021010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100021010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454633153840).

2100021010100 is an abundant number, since it is smaller than the sum of its proper divisors (2809245297580).

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

2100021010100 is a wasteful number, since it uses less digits than its factorization.

2100021010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552609 (or 552602 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2100021010100 its reverse (10101200012), we get a palindrome (2110122210112).

The spelling of 2100021010100 in words is "two trillion, one hundred billion, twenty-one million, ten thousand, one hundred".