101216303445600 has 864 divisors, whose sum is σ = 420666223513536. Its totient is φ = 22416379084800.

The previous prime is 101216303445589. The next prime is 101216303445617. The reversal of 101216303445600 is 6544303612101.

101216303445600 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 6 + 3 + 0 + 3 + 4 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 449304192 + ... + 449529408.

Almost surely, 2^{101216303445600} is an apocalyptic number.

101216303445600 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 101216303445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210333111756768).

101216303445600 is an abundant number, since it is smaller than the sum of its proper divisors (319449920067936).

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

101216303445600 is a wasteful number, since it uses less digits than its factorization.

101216303445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225528 (or 225512 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 101216303445600 in words is "one hundred one trillion, two hundred sixteen billion, three hundred three million, four hundred forty-five thousand, six hundred".