10021001002100 has 108 divisors (see below), whose sum is σ = 23928421441344. Its totient is φ = 3639996360000.

The previous prime is 10021001002099. The next prime is 10021001002109. The reversal of 10021001002100 is 120010012001.

It is a super-2 number, since 2×10021001002100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021001002109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10568555 + ... + 11477645.

Almost surely, 2^{10021001002100} is an apocalyptic number.

10021001002100 is a gapful number since it is divisible by the number (10) 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 10021001002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11964210720672).

10021001002100 is an abundant number, since it is smaller than the sum of its proper divisors (13907420439244).

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

10021001002100 is a wasteful number, since it uses less digits than its factorization.

10021001002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910038 (or 910020 counting only the distinct ones).

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

Adding to 10021001002100 its reverse (120010012001), we get a palindrome (10141011014101).

Subtracting from 10021001002100 its reverse (120010012001), we obtain a palindrome (9900990990099).

The spelling of 10021001002100 in words is "ten trillion, twenty-one billion, one million, two thousand, one hundred".