117100155601 has 27 divisors (see below), whose sum is σ = 139434309777. Its totient is φ = 98224800960.

The previous prime is 117100155583. The next prime is 117100155611. The reversal of 117100155601 is 106551001711.

The square root of 117100155601 is 342199.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 86201547201 + 30898608400 = 293601^2 + 175780^2 .

It is not a de Polignac number, because 117100155601 - 2¹¹ = 117100153553 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 117100155601.

It is not an unprimeable number, because it can be changed into a prime (117100155611) 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 26 ways as a sum of consecutive naturals, for example, 48933261 + ... + 48935653.

Almost surely, 2^117100155601 is an apocalyptic number.

117100155601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

117100155601 is the 342199-th square number.

117100155601 is the 171100-th centered octagonal number.

It is an amenable number.

117100155601 is a deficient number, since it is larger than the sum of its proper divisors (22334154176).

117100155601 is an frugal number, since it uses more digits than its factorization.

117100155601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 28.

The spelling of 117100155601 in words is "one hundred seventeen billion, one hundred million, one hundred fifty-five thousand, six hundred one".