100991109121 has 16 divisors (see below), whose sum is σ = 115819448320. Its totient is φ = 86263269840.

The previous prime is 100991109119. The next prime is 100991109157. The reversal of 100991109121 is 121901199001.

It is a cyclic number.

It is not a de Polignac number, because 100991109121 - 2¹ = 100991109119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100991109161) 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, 5874280 + ... + 5891446.

It is an arithmetic number, because the mean of its divisors is an integer number (7238715520).

Almost surely, 2^100991109121 is an apocalyptic number.

It is an amenable number.

100991109121 is a deficient number, since it is larger than the sum of its proper divisors (14828339199).

100991109121 is a wasteful number, since it uses less digits than its factorization.

100991109121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20044.

The product of its (nonzero) digits is 1458, while the sum is 34.

The spelling of 100991109121 in words is "one hundred billion, nine hundred ninety-one million, one hundred nine thousand, one hundred twenty-one".