9181910000101 has 8 divisors (see below), whose sum is σ = 9289116754200. Its totient is φ = 9075022790400.

The previous prime is 9181910000093. The next prime is 9181910000161. The reversal of 9181910000101 is 1010000191819.

It can be written as a sum of positive squares in 4 ways, for example, as 860675531076 + 8321234469025 = 927726^2 + 2884655^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9181910000101 - 2³ = 9181910000093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9181910000161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79828296 + ... + 79943233.

It is an arithmetic number, because the mean of its divisors is an integer number (1161139594275).

Almost surely, 2^{9181910000101} is an apocalyptic number.

It is an amenable number.

9181910000101 is a deficient number, since it is larger than the sum of its proper divisors (107206754099).

9181910000101 is a wasteful number, since it uses less digits than its factorization.

9181910000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159772199.

The product of its (nonzero) digits is 648, while the sum is 31.

The spelling of 9181910000101 in words is "nine trillion, one hundred eighty-one billion, nine hundred ten million, one hundred one", and thus it is an aban number.