2100330100 has 108 divisors (see below), whose sum is σ = 5228227872. Its totient is φ = 730452800.

The previous prime is 2100330097. The next prime is 2100330173. The reversal of 2100330100 is 10330012.

It is a super-2 number, since 2×2100330100² = 8822773057932020000, which contains 22 as substring.

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

It is a nialpdrome in base 11.

It is a congruent number.

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, 274527 + ... + 282073.

Almost surely, 2^2100330100 is an apocalyptic number.

2100330100 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 2100330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614113936).

2100330100 is an abundant number, since it is smaller than the sum of its proper divisors (3127897772).

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

2100330100 is a wasteful number, since it uses less digits than its factorization.

2100330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2100330100 is about 45829.3584943102. The cubic root of 2100330100 is about 1280.6462597550.

Adding to 2100330100 its reverse (10330012), we get a palindrome (2110660112).

The spelling of 2100330100 in words is "two billion, one hundred million, three hundred thirty thousand, one hundred".