2120100 has 72 divisors (see below), whose sum is σ = 6332928. Its totient is φ = 547200.

The previous prime is 2120099. The next prime is 2120101. The reversal of 2120100 is 10212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2120099) and next prime (2120101).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2120101) 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, 11005 + ... + 11195.

2^2120100 is an apocalyptic number.

2120100 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 2120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166464).

2120100 is an abundant number, since it is smaller than the sum of its proper divisors (4212828).

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

2120100 is a wasteful number, since it uses less digits than its factorization.

2120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2120100 is about 1456.0563175921. The cubic root of 2120100 is about 128.4651856006.

Adding to 2120100 its reverse (10212), we get a palindrome (2130312).

The spelling of 2120100 in words is "two million, one hundred twenty thousand, one hundred".