101166959275200 has 2016 divisors, whose sum is σ = 471120252088320. Its totient is φ = 20656241049600.

The previous prime is 101166959275121. The next prime is 101166959275211. The reversal of 101166959275200 is 2572959661101.

101166959275200 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 6 + 6 + 95 + 9 + 27 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1584241672 + ... + 1584305528.

Almost surely, 2^{101166959275200} is an apocalyptic number.

101166959275200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101166959275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235560126044160).

101166959275200 is an abundant number, since it is smaller than the sum of its proper divisors (369953292813120).

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

101166959275200 is a wasteful number, since it uses less digits than its factorization.

101166959275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63952 (or 63918 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 101166959275200 in words is "one hundred one trillion, one hundred sixty-six billion, nine hundred fifty-nine million, two hundred seventy-five thousand, two hundred".