100201450896 has 160 divisors (see below), whose sum is σ = 294093676800. Its totient is φ = 32654776320.

The previous prime is 100201450829. The next prime is 100201450901. The reversal of 100201450896 is 698054102001.

100201450896 is a `hidden beast` number, since 100 + 20 + 1 + 450 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100201450896.

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, 4389400 + ... + 4412168.

It is an arithmetic number, because the mean of its divisors is an integer number (1838085480).

Almost surely, 2^100201450896 is an apocalyptic number.

100201450896 is a gapful number since it is divisible by the number (16) 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 100201450896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147046838400).

100201450896 is an abundant number, since it is smaller than the sum of its proper divisors (193892225904).

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

100201450896 is a wasteful number, since it uses less digits than its factorization.

100201450896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23014 (or 23002 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 100201450896 its reverse (698054102001), we get a palindrome (798255552897).

The spelling of 100201450896 in words is "one hundred billion, two hundred one million, four hundred fifty thousand, eight hundred ninety-six".