9191000010101 has 16 divisors (see below), whose sum is σ = 11368844256000. Its totient is φ = 7235457280128.

The previous prime is 9191000010079. The next prime is 9191000010131. The reversal of 9191000010101 is 1010100001919.

It is a happy number.

It is not a de Polignac number, because 9191000010101 - 2²⁶ = 9190932901237 is a prime.

9191000010101 is a modest number, since divided by 10101 gives 9191 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9191000010131) 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, 253750736 + ... + 253786953.

It is an arithmetic number, because the mean of its divisors is an integer number (710552766000).

Almost surely, 2^{9191000010101} is an apocalyptic number.

9191000010101 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9191000010101 is a deficient number, since it is larger than the sum of its proper divisors (2177844245899).

9191000010101 is a wasteful number, since it uses less digits than its factorization.

9191000010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507537908.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 9191000010101 in words is "nine trillion, one hundred ninety-one billion, ten thousand, one hundred one".