101616377200 has 120 divisors (see below), whose sum is σ = 263561169200. Its totient is φ = 37427374080.

The previous prime is 101616377171. The next prime is 101616377221. The reversal of 101616377200 is 2773616101.

101616377200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2102911 + ... + 2150689.

Almost surely, 2^101616377200 is an apocalyptic number.

101616377200 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 101616377200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131780584600).

101616377200 is an abundant number, since it is smaller than the sum of its proper divisors (161944792000).

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

101616377200 is a wasteful number, since it uses less digits than its factorization.

101616377200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48219 (or 48208 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The spelling of 101616377200 in words is "one hundred one billion, six hundred sixteen million, three hundred seventy-seven thousand, two hundred".