100611106101 has 40 divisors (see below), whose sum is σ = 163990076448. Its totient is φ = 60964812000.

The previous prime is 100611106093. The next prime is 100611106111. The reversal of 100611106101 is 101601116001.

It is not a de Polignac number, because 100611106101 - 2³ = 100611106093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100611106111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8093871 + ... + 8106291.

Almost surely, 2^100611106101 is an apocalyptic number.

100611106101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100611106101 is a deficient number, since it is larger than the sum of its proper divisors (63378970347).

100611106101 is a wasteful number, since it uses less digits than its factorization.

100611106101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21535 (or 21526 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 100611106101 in words is "one hundred billion, six hundred eleven million, one hundred six thousand, one hundred one".