100381852777701 has 8 divisors (see below), whose sum is σ = 146009967676704. Its totient is φ = 60837486531920.

The previous prime is 100381852777639. The next prime is 100381852777733. The reversal of 100381852777701 is 107777258183001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100381852777701 - 2¹⁹ = 100381852253413 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100381852777781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1520937163266 + ... + 1520937163331.

It is an arithmetic number, because the mean of its divisors is an integer number (18251245959588).

Almost surely, 2^{100381852777701} is an apocalyptic number.

100381852777701 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100381852777701 is a deficient number, since it is larger than the sum of its proper divisors (45628114899003).

100381852777701 is a wasteful number, since it uses less digits than its factorization.

100381852777701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041874326611.

The product of its (nonzero) digits is 4609920, while the sum is 57.

The spelling of 100381852777701 in words is "one hundred trillion, three hundred eighty-one billion, eight hundred fifty-two million, seven hundred seventy-seven thousand, seven hundred one".