2102020100 has 72 divisors (see below), whose sum is σ = 4721531136. Its totient is φ = 811440000.

The previous prime is 2102020073. The next prime is 2102020147. The reversal of 2102020100 is 10202012.

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, 1521410 + ... + 1522790.

Almost surely, 2^2102020100 is an apocalyptic number.

2102020100 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 2102020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360765568).

2102020100 is an abundant number, since it is smaller than the sum of its proper divisors (2619511036).

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

2102020100 is a wasteful number, since it uses less digits than its factorization.

2102020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1910 counting only the distinct ones).

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

The square root of 2102020100 is about 45847.7927494880. The cubic root of 2102020100 is about 1280.9896521182.

Adding to 2102020100 its reverse (10202012), we get a palindrome (2112222112).

The spelling of 2102020100 in words is "two billion, one hundred two million, twenty thousand, one hundred".