10121340400 has 60 divisors (see below), whose sum is σ = 24333096600. Its totient is φ = 4045776640.

The previous prime is 10121340353. The next prime is 10121340421. The reversal of 10121340400 is 404312101.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 639786 + ... + 655414.

It is an arithmetic number, because the mean of its divisors is an integer number (405551610).

Almost surely, 2^10121340400 is an apocalyptic number.

10121340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121340400 is an abundant number, since it is smaller than the sum of its proper divisors (14211756200).

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

10121340400 is a wasteful number, since it uses less digits than its factorization.

10121340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17266 (or 17255 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10121340400 its reverse (404312101), we get a palindrome (10525652501).

The spelling of 10121340400 in words is "ten billion, one hundred twenty-one million, three hundred forty thousand, four hundred".