100207411200 has 1440 divisors, whose sum is σ = 430039350720. Its totient is φ = 22649241600.

The previous prime is 100207411193. The next prime is 100207411223. The reversal of 100207411200 is 2114702001.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2444083180 + ... + 2444083220.

It is an arithmetic number, because the mean of its divisors is an integer number (298638438).

Almost surely, 2^100207411200 is an apocalyptic number.

100207411200 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 100207411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215019675360).

100207411200 is an abundant number, since it is smaller than the sum of its proper divisors (329831939520).

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

100207411200 is a wasteful number, since it uses less digits than its factorization.

100207411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The spelling of 100207411200 in words is "one hundred billion, two hundred seven million, four hundred eleven thousand, two hundred".