100801681 has 2 divisors, whose sum is σ = 100801682. Its totient is φ = 100801680.

The previous prime is 100801661. The next prime is 100801691. The reversal of 100801681 is 186108001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100801600 + 81 = 10040^2 + 9^2 .

It is a cyclic number.

It is not a de Polignac number, because 100801681 - 2²³ = 92413073 is a prime.

It is a super-2 number, since 2×100801681² = 20321957784851522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100801661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50400840 + 50400841.

It is an arithmetic number, because the mean of its divisors is an integer number (50400841).

Almost surely, 2^100801681 is an apocalyptic number.

It is an amenable number.

100801681 is a deficient number, since it is larger than the sum of its proper divisors (1).

100801681 is an equidigital number, since it uses as much as digits as its factorization.

100801681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 100801681 is about 10040.0040338637. The cubic root of 100801681 is about 465.3959413334.

Adding to 100801681 its reverse (186108001), we get a palindrome (286909682).

It can be divided in two parts, 1008016 and 81, that multiplied together give a square (81649296 = 9036²).

The spelling of 100801681 in words is "one hundred million, eight hundred one thousand, six hundred eighty-one".