2112020100 has 108 divisors (see below), whose sum is σ = 6632283840. Its totient is φ = 562161600.

The previous prime is 2112020081. The next prime is 2112020137. The reversal of 2112020100 is 10202112.

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 35 ways as a sum of consecutive naturals, for example, 566041 + ... + 569759.

Almost surely, 2^2112020100 is an apocalyptic number.

2112020100 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 2112020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316141920).

2112020100 is an abundant number, since it is smaller than the sum of its proper divisors (4520263740).

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

2112020100 is a wasteful number, since it uses less digits than its factorization.

2112020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4360 counting only the distinct ones).

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

The square root of 2112020100 is about 45956.7198568392. The cubic root of 2112020100 is about 1283.0178021521.

Adding to 2112020100 its reverse (10202112), we get a palindrome (2122222212).

The spelling of 2112020100 in words is "two billion, one hundred twelve million, twenty thousand, one hundred".