10121122400 has 72 divisors (see below), whose sum is σ = 25782506064. Its totient is φ = 3872422400.

The previous prime is 10121122321. The next prime is 10121122421. The reversal of 10121122400 is 422112101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256631 + ... + 293430.

It is an arithmetic number, because the mean of its divisors is an integer number (358090362).

Almost surely, 2^10121122400 is an apocalyptic number.

10121122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121122400 is an abundant number, since it is smaller than the sum of its proper divisors (15661383664).

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

10121122400 is a wasteful number, since it uses less digits than its factorization.

10121122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550104 (or 550091 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10121122400 its reverse (422112101), we get a palindrome (10543234501).

The spelling of 10121122400 in words is "ten billion, one hundred twenty-one million, one hundred twenty-two thousand, four hundred".