102161671661700 has 504 divisors, whose sum is σ = 380844909157440. Its totient is φ = 23291165088000.

The previous prime is 102161671661639. The next prime is 102161671661701. The reversal of 102161671661700 is 7166176161201.

102161671661700 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 6 + 16 + 7 + 16 + 617 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102161671661701) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 198249375 + ... + 198764025.

Almost surely, 2^{102161671661700} is an apocalyptic number.

102161671661700 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 102161671661700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190422454578720).

102161671661700 is an abundant number, since it is smaller than the sum of its proper divisors (278683237495740).

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

102161671661700 is a wasteful number, since it uses less digits than its factorization.

102161671661700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515079 (or 515057 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 102161671661700 in words is "one hundred two trillion, one hundred sixty-one billion, six hundred seventy-one million, six hundred sixty-one thousand, seven hundred".