100988101 has 16 divisors (see below), whose sum is σ = 108785664. Its totient is φ = 93520944.

The previous prime is 100988099. The next prime is 100988113. The reversal of 100988101 is 101889001.

It is not a de Polignac number, because 100988101 - 2¹ = 100988099 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100988101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100988141) 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, 110890 + ... + 111796.

It is an arithmetic number, because the mean of its divisors is an integer number (6799104).

Almost surely, 2^100988101 is an apocalyptic number.

It is an amenable number.

100988101 is a deficient number, since it is larger than the sum of its proper divisors (7797563).

100988101 is a wasteful number, since it uses less digits than its factorization.

100988101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080.

The product of its (nonzero) digits is 576, while the sum is 28.

The square root of 100988101 is about 10049.2836063075. The cubic root of 100988101 is about 465.6826616938.

The spelling of 100988101 in words is "one hundred million, nine hundred eighty-eight thousand, one hundred one".