101835804217 has 16 divisors (see below), whose sum is σ = 116648737024. Its totient is φ = 87089256000.

The previous prime is 101835804167. The next prime is 101835804263. The reversal of 101835804217 is 712408538101.

It is a cyclic number.

It is not a de Polignac number, because 101835804217 - 2³⁵ = 67476065849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101835804217.

It is not an unprimeable number, because it can be changed into a prime (101835804277) 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, 12383167 + ... + 12391387.

It is an arithmetic number, because the mean of its divisors is an integer number (7290546064).

Almost surely, 2^101835804217 is an apocalyptic number.

It is an amenable number.

101835804217 is a deficient number, since it is larger than the sum of its proper divisors (14812932807).

101835804217 is an equidigital number, since it uses as much as digits as its factorization.

101835804217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12040.

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 101835804217 in words is "one hundred one billion, eight hundred thirty-five million, eight hundred four thousand, two hundred seventeen".