101618172217120 has 96 divisors (see below), whose sum is σ = 258550926585840. Its totient is φ = 37518981857280.

The previous prime is 101618172217099. The next prime is 101618172217139. The reversal of 101618172217120 is 21712271816101.

It can be written as a sum of positive squares in 8 ways, for example, as 1296874550416 + 100321297666704 = 1138804^2 + 10016052^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49158976 + ... + 51184384.

Almost surely, 2^{101618172217120} is an apocalyptic number.

101618172217120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101618172217120 is an abundant number, since it is smaller than the sum of its proper divisors (156932754368720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101618172217120 is a wasteful number, since it uses less digits than its factorization.

101618172217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049558 (or 2049550 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 40.

The spelling of 101618172217120 in words is "one hundred one trillion, six hundred eighteen billion, one hundred seventy-two million, two hundred seventeen thousand, one hundred twenty".