100201003113300 has 288 divisors, whose sum is σ = 299150145498624. Its totient is φ = 25882642368000.

The previous prime is 100201003113287. The next prime is 100201003113317. The reversal of 100201003113300 is 3311300102001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100201003113300.

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, 5349464935 + ... + 5349483665.

Almost surely, 2^{100201003113300} is an apocalyptic number.

100201003113300 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 100201003113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149575072749312).

100201003113300 is an abundant number, since it is smaller than the sum of its proper divisors (198949142385324).

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

100201003113300 is a wasteful number, since it uses less digits than its factorization.

100201003113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23239 (or 23232 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100201003113300 its reverse (3311300102001), we get a palindrome (103512303215301).

The spelling of 100201003113300 in words is "one hundred trillion, two hundred one billion, three million, one hundred thirteen thousand, three hundred".