100350201120 has 192 divisors, whose sum is σ = 340610054400. Its totient is φ = 24687710208.

The previous prime is 100350201031. The next prime is 100350201131. The reversal of 100350201120 is 21102053001.

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 100350201120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15203581 + ... + 15210179.

It is an arithmetic number, because the mean of its divisors is an integer number (1774010700).

Almost surely, 2^100350201120 is an apocalyptic number.

100350201120 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 100350201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170305027200).

100350201120 is an abundant number, since it is smaller than the sum of its proper divisors (240259853280).

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

100350201120 is a wasteful number, since it uses less digits than its factorization.

100350201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9067 (or 9059 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 100350201120 its reverse (21102053001), we get a palindrome (121452254121).

The spelling of 100350201120 in words is "one hundred billion, three hundred fifty million, two hundred one thousand, one hundred twenty".