101666385100800 has 1836 divisors, whose sum is σ = 409234812858144. Its totient is φ = 25009009459200.

The previous prime is 101666385100789. The next prime is 101666385100837. The reversal of 101666385100800 is 8001583666101.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 67284172045 + ... + 67284173555.

Almost surely, 2^{101666385100800} is an apocalyptic number.

101666385100800 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 101666385100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204617406429072).

101666385100800 is an abundant number, since it is smaller than the sum of its proper divisors (307568427757344).

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

101666385100800 is an frugal number, since it uses more digits than its factorization.

101666385100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 101666385100800 in words is "one hundred one trillion, six hundred sixty-six billion, three hundred eighty-five million, one hundred thousand, eight hundred".