100097950633600 has 288 divisors, whose sum is σ = 252367173599940. Its totient is φ = 39223627776000.

The previous prime is 100097950633591. The next prime is 100097950633619. The reversal of 100097950633600 is 6336059790001.

It can be written as a sum of positive squares in 18 ways, for example, as 24006942497344 + 76091008136256 = 4899688^2 + 8723016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5186143950 + ... + 5186163250.

Almost surely, 2^{100097950633600} is an apocalyptic number.

100097950633600 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 100097950633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126183586799970).

100097950633600 is an abundant number, since it is smaller than the sum of its proper divisors (152269222966340).

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

100097950633600 is an equidigital number, since it uses as much as digits as its factorization.

100097950633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19696 (or 19530 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 49.

The spelling of 100097950633600 in words is "one hundred trillion, ninety-seven billion, nine hundred fifty million, six hundred thirty-three thousand, six hundred".