100381852777781 has 2 divisors, whose sum is σ = 100381852777782. Its totient is φ = 100381852777780.

The previous prime is 100381852777733. The next prime is 100381852777793. The reversal of 100381852777781 is 187777258183001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99800919181681 + 580933596100 = 9990041^2 + 762190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100381852777781 is a prime.

It is a super-2 number, since 2×100381852777781² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100381852773781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50190926388890 + 50190926388891.

It is an arithmetic number, because the mean of its divisors is an integer number (50190926388891).

Almost surely, 2^{100381852777781} is an apocalyptic number.

It is an amenable number.

100381852777781 is a deficient number, since it is larger than the sum of its proper divisors (1).

100381852777781 is an equidigital number, since it uses as much as digits as its factorization.

100381852777781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36879360, while the sum is 65.

The spelling of 100381852777781 in words is "one hundred trillion, three hundred eighty-one billion, eight hundred fifty-two million, seven hundred seventy-seven thousand, seven hundred eighty-one".