117072052101 has 12 divisors (see below), whose sum is σ = 169128129612. Its totient is φ = 78036932736.

The previous prime is 117072052099. The next prime is 117072052103. The reversal of 117072052101 is 101250270711.

117072052101 is a `hidden beast` number, since 1 + 1 + 70 + 72 + 0 + 521 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (117072052099) and next prime (117072052103).

It can be written as a sum of positive squares in 2 ways, for example, as 107583344001 + 9488708100 = 327999^2 + 97410^2 .

It is not a de Polignac number, because 117072052101 - 2¹ = 117072052099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117072052103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 858126 + ... + 985151.

It is an arithmetic number, because the mean of its divisors is an integer number (14094010801).

Almost surely, 2^117072052101 is an apocalyptic number.

It is an amenable number.

117072052101 is a deficient number, since it is larger than the sum of its proper divisors (52056077511).

117072052101 is a wasteful number, since it uses less digits than its factorization.

117072052101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850340 (or 1850337 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The spelling of 117072052101 in words is "one hundred seventeen billion, seventy-two million, fifty-two thousand, one hundred one".