100216224501120 has 2560 divisors, whose sum is σ = 458933774745600. Its totient is φ = 20271487057920.

The previous prime is 100216224501101. The next prime is 100216224501167. The reversal of 100216224501120 is 21105422612001.

It is a happy number.

100216224501120 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 622 + 4 + 5 + 0 + 11 + 20 = 666.

100216224501120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15940226617 + ... + 15940232903.

It is an arithmetic number, because the mean of its divisors is an integer number (179271005760).

Almost surely, 2^{100216224501120} is an apocalyptic number.

100216224501120 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 100216224501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229466887372800).

100216224501120 is an abundant number, since it is smaller than the sum of its proper divisors (358717550244480).

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

100216224501120 is a wasteful number, since it uses less digits than its factorization.

100216224501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 100216224501120 in words is "one hundred trillion, two hundred sixteen billion, two hundred twenty-four million, five hundred one thousand, one hundred twenty".