2010122100 has 324 divisors, whose sum is σ = 7718256000. Its totient is φ = 435093120.

The previous prime is 2010122089. The next prime is 2010122113. The reversal of 2010122100 is 12210102.

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 107 ways as a sum of consecutive naturals, for example, 836701 + ... + 839099.

Almost surely, 2^2010122100 is an apocalyptic number.

2010122100 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 2010122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859128000).

2010122100 is an abundant number, since it is smaller than the sum of its proper divisors (5708133900).

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

2010122100 is a wasteful number, since it uses less digits than its factorization.

2010122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2435 counting only the distinct ones).

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

The square root of 2010122100 is about 44834.3852416870. The cubic root of 2010122100 is about 1262.0429819858.

Adding to 2010122100 its reverse (12210102), we get a palindrome (2022332202).

The spelling of 2010122100 in words is "two billion, ten million, one hundred twenty-two thousand, one hundred".