100114352000 has 256 divisors, whose sum is σ = 270716584320. Its totient is φ = 36598579200.

The previous prime is 100114351927. The next prime is 100114352003. The reversal of 100114352000 is 253411001.

It is a self number, because there is not a number n which added to its sum of digits gives 100114352000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100114352003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21421664 + ... + 21426336.

Almost surely, 2^100114352000 is an apocalyptic number.

100114352000 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 100114352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135358292160).

100114352000 is an abundant number, since it is smaller than the sum of its proper divisors (170602232320).

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

100114352000 is a wasteful number, since it uses less digits than its factorization.

100114352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 100114352000 its reverse (253411001), we get a palindrome (100367763001).

The spelling of 100114352000 in words is "one hundred billion, one hundred fourteen million, three hundred fifty-two thousand".