10114012400 has 30 divisors (see below), whose sum is σ = 24298915752. Its totient is φ = 4045604800.

The previous prime is 10114012373. The next prime is 10114012429. The reversal of 10114012400 is 421041101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12642116 + ... + 12642915.

Almost surely, 2^10114012400 is an apocalyptic number.

10114012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114012400 is an abundant number, since it is smaller than the sum of its proper divisors (14184903352).

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

10114012400 is a wasteful number, since it uses less digits than its factorization.

10114012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25285049 (or 25285038 counting only the distinct ones).

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

Adding to 10114012400 its reverse (421041101), we get a palindrome (10535053501).

The spelling of 10114012400 in words is "ten billion, one hundred fourteen million, twelve thousand, four hundred".