91000010101 has 16 divisors (see below), whose sum is σ = 122181833088. Its totient is φ = 65454552000.

The previous prime is 91000010089. The next prime is 91000010137. The reversal of 91000010101 is 10101000019.

It is a cyclic number.

It is not a de Polignac number, because 91000010101 - 2¹⁵ = 90999977333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

91000010101 is a modest number, since divided by 10101 gives 91 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91000010701) 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, 45453550 + ... + 45455551.

It is an arithmetic number, because the mean of its divisors is an integer number (7636364568).

Almost surely, 2^91000010101 is an apocalyptic number.

91000010101 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

91000010101 is a deficient number, since it is larger than the sum of its proper divisors (31181822987).

91000010101 is a wasteful number, since it uses less digits than its factorization.

91000010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90909132.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 91000010101 in words is "ninety-one billion, ten thousand, one hundred one".