2010021021100 has 72 divisors (see below), whose sum is σ = 4449940185600. Its totient is φ = 787839009600.

The previous prime is 2010021021079. The next prime is 2010021021103. The reversal of 2010021021100 is 11201200102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2010021021103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287181 + ... + 2382619.

It is an arithmetic number, because the mean of its divisors is an integer number (61804724800).

Almost surely, 2^{2010021021100} is an apocalyptic number.

2010021021100 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 2010021021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224970092800).

2010021021100 is an abundant number, since it is smaller than the sum of its proper divisors (2439919164500).

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

2010021021100 is a wasteful number, since it uses less digits than its factorization.

2010021021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095823 (or 1095816 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2010021021100 its reverse (11201200102), we get a palindrome (2021222221202).

The spelling of 2010021021100 in words is "two trillion, ten billion, twenty-one million, twenty-one thousand, one hundred".