100213466515200 has 324 divisors, whose sum is σ = 358410801490560. Its totient is φ = 26714264616960.

The previous prime is 100213466515171. The next prime is 100213466515219. The reversal of 100213466515200 is 2515664312001.

100213466515200 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 134 + 6 + 6 + 515 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×100213466515200² (a number of 29 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165528244 + ... + 166132556.

It is an arithmetic number, because the mean of its divisors is an integer number (1106206177440).

Almost surely, 2^{100213466515200} is an apocalyptic number.

100213466515200 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 100213466515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179205400745280).

100213466515200 is an abundant number, since it is smaller than the sum of its proper divisors (258197334975360).

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

100213466515200 is a wasteful number, since it uses less digits than its factorization.

100213466515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607224 (or 607202 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 100213466515200 in words is "one hundred trillion, two hundred thirteen billion, four hundred sixty-six million, five hundred fifteen thousand, two hundred".