10010122900 has 72 divisors (see below), whose sum is σ = 22150457280. Its totient is φ = 3925440000.

The previous prime is 10010122847. The next prime is 10010122901. The reversal of 10010122900 is 922101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010122901) 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, 2363785 + ... + 2368015.

It is an arithmetic number, because the mean of its divisors is an integer number (307645240).

Almost surely, 2^10010122900 is an apocalyptic number.

10010122900 is a gapful number since it is divisible by the number (10) 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 10010122900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075228640).

10010122900 is an abundant number, since it is smaller than the sum of its proper divisors (12140334380).

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

10010122900 is a wasteful number, since it uses less digits than its factorization.

10010122900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10010122900 its reverse (922101001), we get a palindrome (10932223901).

The spelling of 10010122900 in words is "ten billion, ten million, one hundred twenty-two thousand, nine hundred".