2021100010002 has 64 divisors (see below), whose sum is σ = 4599528912000. Its totient is φ = 657496211904.

The previous prime is 2021100009991. The next prime is 2021100010019. The reversal of 2021100010002 is 2000100011202.

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 31 ways as a sum of consecutive naturals, for example, 2499624 + ... + 3207852.

It is an arithmetic number, because the mean of its divisors is an integer number (71867639250).

Almost surely, 2^{2021100010002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021100010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299764456000).

2021100010002 is an abundant number, since it is smaller than the sum of its proper divisors (2578428901998).

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

2021100010002 is a wasteful number, since it uses less digits than its factorization.

2021100010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709512 (or 709506 counting only the distinct ones).

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

Adding to 2021100010002 its reverse (2000100011202), we get a palindrome (4021200021204).

The spelling of 2021100010002 in words is "two trillion, twenty-one billion, one hundred million, ten thousand, two".