2102120100 has 432 divisors, whose sum is σ = 7488062400. Its totient is φ = 509483520.

The previous prime is 2102120093. The next prime is 2102120147. The reversal of 2102120100 is 10212012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13389222 + ... + 13389378.

Almost surely, 2^2102120100 is an apocalyptic number.

2102120100 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 2102120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744031200).

2102120100 is an abundant number, since it is smaller than the sum of its proper divisors (5385942300).

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

2102120100 is a wasteful number, since it uses less digits than its factorization.

2102120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

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

The square root of 2102120100 is about 45848.8833015593. The cubic root of 2102120100 is about 1281.0099654244.

Adding to 2102120100 its reverse (10212012), we get a palindrome (2112332112).

The spelling of 2102120100 in words is "two billion, one hundred two million, one hundred twenty thousand, one hundred".