100032200103101 has 16 divisors (see below), whose sum is σ = 115355971770624. Its totient is φ = 84967079011584.

The previous prime is 100032200103089. The next prime is 100032200103109. The reversal of 100032200103101 is 101301002230001.

It is not a de Polignac number, because 100032200103101 - 2³⁰ = 100031126361277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032200103109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7729046 + ... + 16118391.

It is an arithmetic number, because the mean of its divisors is an integer number (7209748235664).

Almost surely, 2^{100032200103101} is an apocalyptic number.

It is an amenable number.

100032200103101 is a deficient number, since it is larger than the sum of its proper divisors (15323771667523).

100032200103101 is a wasteful number, since it uses less digits than its factorization.

100032200103101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23852860.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100032200103101 its reverse (101301002230001), we get a palindrome (201333202333102).

The spelling of 100032200103101 in words is "one hundred trillion, thirty-two billion, two hundred million, one hundred three thousand, one hundred one".