117164820201 has 32 divisors (see below), whose sum is σ = 186045078912. Its totient is φ = 64648834560.

The previous prime is 117164820197. The next prime is 117164820239. The reversal of 117164820201 is 102028461711.

It is not a de Polignac number, because 117164820201 - 2² = 117164820197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (117164820401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1839310 + ... + 1901943.

It is an arithmetic number, because the mean of its divisors is an integer number (5813908716).

Almost surely, 2^117164820201 is an apocalyptic number.

117164820201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

117164820201 is a deficient number, since it is larger than the sum of its proper divisors (68880258711).

117164820201 is a wasteful number, since it uses less digits than its factorization.

117164820201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741353.

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 117164820201 in words is "one hundred seventeen billion, one hundred sixty-four million, eight hundred twenty thousand, two hundred one".