100201022016 has 56 divisors (see below), whose sum is σ = 265158687360. Its totient is φ = 33394862592.

The previous prime is 100201021919. The next prime is 100201022021. The reversal of 100201022016 is 610220102001.

It is a junction number, because it is equal to n+sod(n) for n = 100201021986 and 100201022004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1229050 + ... + 1308038.

It is an arithmetic number, because the mean of its divisors is an integer number (4734976560).

Almost surely, 2^100201022016 is an apocalyptic number.

100201022016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100201022016 is an abundant number, since it is smaller than the sum of its proper divisors (164957665344).

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

100201022016 is an equidigital number, since it uses as much as digits as its factorization.

100201022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85611 (or 85601 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100201022016 its reverse (610220102001), we get a palindrome (710421124017).

The spelling of 100201022016 in words is "one hundred billion, two hundred one million, twenty-two thousand, sixteen".