101117845153 has 16 divisors (see below), whose sum is σ = 111717930240. Its totient is φ = 90951686784.

The previous prime is 101117845141. The next prime is 101117845181. The reversal of 101117845153 is 351548711101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101117845153 - 2²¹ = 101115748001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101117845753) 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, 563113 + ... + 720646.

It is an arithmetic number, because the mean of its divisors is an integer number (6982370640).

Almost surely, 2^101117845153 is an apocalyptic number.

101117845153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101117845153 is a deficient number, since it is larger than the sum of its proper divisors (10600085087).

101117845153 is a wasteful number, since it uses less digits than its factorization.

101117845153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283928.

The product of its (nonzero) digits is 16800, while the sum is 37.

It can be divided in two parts, 1011178 and 45153, that added together give a triangular number (1056331 = T₁₄₅₃).

The spelling of 101117845153 in words is "one hundred one billion, one hundred seventeen million, eight hundred forty-five thousand, one hundred fifty-three".