100114252800 has 792 divisors, whose sum is σ = 366718510656. Its totient is φ = 24038277120.

The previous prime is 100114252789. The next prime is 100114252801. The reversal of 100114252800 is 8252411001.

It is a super-2 number, since 2×100114252800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100114252801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 637670322 + ... + 637670478.

Almost surely, 2^100114252800 is an apocalyptic number.

100114252800 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 100114252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183359255328).

100114252800 is an abundant number, since it is smaller than the sum of its proper divisors (266604257856).

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

100114252800 is a wasteful number, since it uses less digits than its factorization.

100114252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 100114252800 its reverse (8252411001), we get a palindrome (108366663801).

The spelling of 100114252800 in words is "one hundred billion, one hundred fourteen million, two hundred fifty-two thousand, eight hundred".