100381852777700 has 72 divisors (see below), whose sum is σ = 235880716704360. Its totient is φ = 36859294771200.

The previous prime is 100381852777639. The next prime is 100381852777733. The reversal of 100381852777700 is 7777258183001.

It can be written as a sum of positive squares in 12 ways, for example, as 42098919303424 + 58282933474276 = 6488368^2 + 7634326^2 .

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, 213070805 + ... + 213541404.

Almost surely, 2^{100381852777700} is an apocalyptic number.

100381852777700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100381852777700 is an abundant number, since it is smaller than the sum of its proper divisors (135498863926660).

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

100381852777700 is a wasteful number, since it uses less digits than its factorization.

100381852777700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426612417 (or 426612410 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 56.

The spelling of 100381852777700 in words is "one hundred trillion, three hundred eighty-one billion, eight hundred fifty-two million, seven hundred seventy-seven thousand, seven hundred".