10200114400 has 108 divisors (see below), whose sum is σ = 28966614768. Its totient is φ = 3497168640.

The previous prime is 10200114383. The next prime is 10200114433. The reversal of 10200114400 is 441100201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 90904 + ... + 169303.

It is an arithmetic number, because the mean of its divisors is an integer number (268209396).

Almost surely, 2^10200114400 is an apocalyptic number.

10200114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200114400 is an abundant number, since it is smaller than the sum of its proper divisors (18766500368).

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

10200114400 is a wasteful number, since it uses less digits than its factorization.

10200114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260241 (or 260221 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10200114400 its reverse (441100201), we get a palindrome (10641214601).

The spelling of 10200114400 in words is "ten billion, two hundred million, one hundred fourteen thousand, four hundred".