100090910101 has 16 divisors (see below), whose sum is σ = 123218120704. Its totient is φ = 79173967104.

The previous prime is 100090910099. The next prime is 100090910111. The reversal of 100090910101 is 101019090001.

It is a cyclic number.

It is not a de Polignac number, because 100090910101 - 2¹ = 100090910099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100090910111) 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 15 ways as a sum of consecutive naturals, for example, 260140 + ... + 517546.

It is an arithmetic number, because the mean of its divisors is an integer number (7701132544).

Almost surely, 2^100090910101 is an apocalyptic number.

It is an amenable number.

100090910101 is a deficient number, since it is larger than the sum of its proper divisors (23127210603).

100090910101 is a wasteful number, since it uses less digits than its factorization.

100090910101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261700.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 100090910101 in words is "one hundred billion, ninety million, nine hundred ten thousand, one hundred one".