100928391201 has 40 divisors (see below), whose sum is σ = 165384867648. Its totient is φ = 60830676000.

The previous prime is 100928391169. The next prime is 100928391259. The reversal of 100928391201 is 102193829001.

It is not a de Polignac number, because 100928391201 - 2⁵ = 100928391169 is a prime.

It is a super-3 number, since 3×100928391201³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100928391271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151645 + ... + 474186.

Almost surely, 2^100928391201 is an apocalyptic number.

100928391201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100928391201 is a deficient number, since it is larger than the sum of its proper divisors (64456476447).

100928391201 is a wasteful number, since it uses less digits than its factorization.

100928391201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626035 (or 626026 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 100928391201 in words is "one hundred billion, nine hundred twenty-eight million, three hundred ninety-one thousand, two hundred one".