9100910010101 has 48 divisors (see below), whose sum is σ = 12081222788544. Its totient is φ = 6771855638016.

The previous prime is 9100910010083. The next prime is 9100910010119. The reversal of 9100910010101 is 1010100190019.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9100910010083) and next prime (9100910010119).

It is not a de Polignac number, because 9100910010101 - 2²² = 9100905815797 is a prime.

It is a super-3 number, since 3×9100910010101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9100910010131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13566086 + ... + 14221128.

It is an arithmetic number, because the mean of its divisors is an integer number (251692141428).

Almost surely, 2^{9100910010101} is an apocalyptic number.

9100910010101 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9100910010101 is a deficient number, since it is larger than the sum of its proper divisors (2980312778443).

9100910010101 is a wasteful number, since it uses less digits than its factorization.

9100910010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656370 (or 656363 counting only the distinct ones).

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

The spelling of 9100910010101 in words is "nine trillion, one hundred billion, nine hundred ten million, ten thousand, one hundred one".