100212592869376 has 261 divisors, whose sum is σ = 221744329241241. Its totient is φ = 45267881558016.

The previous prime is 100212592869293. The next prime is 100212592869391. The reversal of 100212592869376 is 673968295212001.

The square root of 100212592869376 is 10010624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14824348057600 + 85388244811776 = 3850240^2 + 9240576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2132182826985 + ... + 2132182827031.

Almost surely, 2^{100212592869376} is an apocalyptic number.

100212592869376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100212592869376 is the 10010624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212592869376

100212592869376 is an abundant number, since it is smaller than the sum of its proper divisors (121531736371865).

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

100212592869376 is an frugal number, since it uses more digits than its factorization.

100212592869376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 100212592869376 in words is "one hundred trillion, two hundred twelve billion, five hundred ninety-two million, eight hundred sixty-nine thousand, three hundred seventy-six".