100100500105089 has 64 divisors (see below), whose sum is σ = 152950935269376. Its totient is φ = 57639859200000.

The previous prime is 100100500105063. The next prime is 100100500105121. The reversal of 100100500105089 is 980501005001001.

It is not a de Polignac number, because 100100500105089 - 2¹⁹ = 100100499580801 is a prime.

It is a super-2 number, since 2×100100500105089² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100100500105019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1567933809 + ... + 1567997649.

It is an arithmetic number, because the mean of its divisors is an integer number (2389858363584).

Almost surely, 2^{100100500105089} is an apocalyptic number.

It is an amenable number.

100100500105089 is a deficient number, since it is larger than the sum of its proper divisors (52850435164287).

100100500105089 is a wasteful number, since it uses less digits than its factorization.

100100500105089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77710.

The product of its (nonzero) digits is 1800, while the sum is 30.

The spelling of 100100500105089 in words is "one hundred trillion, one hundred billion, five hundred million, one hundred five thousand, eighty-nine".