99491101100101 has 16 divisors (see below), whose sum is σ = 100072509980400. Its totient is φ = 98911044983808.

The previous prime is 99491101100011. The next prime is 99491101100191. The reversal of 99491101100101 is 10100110119499.

It is an interprime number because it is at equal distance from previous prime (99491101100011) and next prime (99491101100191).

It can be written as a sum of positive squares in 8 ways, for example, as 13232497522500 + 86258603577601 = 3637650^2 + 9287551^2 .

It is a cyclic number.

It is not a de Polignac number, because 99491101100101 - 2¹³ = 99491101091909 is a prime.

It is a super-2 number, since 2×99491101100101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99491101100191) 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, 620292951 + ... + 620453323.

It is an arithmetic number, because the mean of its divisors is an integer number (6254531873775).

Almost surely, 2^{99491101100101} is an apocalyptic number.

It is an amenable number.

99491101100101 is a deficient number, since it is larger than the sum of its proper divisors (581408880299).

99491101100101 is a wasteful number, since it uses less digits than its factorization.

99491101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164568.

The product of its (nonzero) digits is 2916, while the sum is 37.

The spelling of 99491101100101 in words is "ninety-nine trillion, four hundred ninety-one billion, one hundred one million, one hundred thousand, one hundred one".