100907561622577 has 2 divisors, whose sum is σ = 100907561622578. Its totient is φ = 100907561622576.

The previous prime is 100907561622503. The next prime is 100907561622607. The reversal of 100907561622577 is 775226165709001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100226608232976 + 680953389601 = 10011324^2 + 825199^2 .

It is a cyclic number.

It is not a de Polignac number, because 100907561622577 - 2³⁵ = 100873201884209 is a prime.

It is a super-2 number, since 2×100907561622577² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100907561623577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50453780811288 + 50453780811289.

It is an arithmetic number, because the mean of its divisors is an integer number (50453780811289).

Almost surely, 2^{100907561622577} is an apocalyptic number.

It is an amenable number.

100907561622577 is a deficient number, since it is larger than the sum of its proper divisors (1).

100907561622577 is an equidigital number, since it uses as much as digits as its factorization.

100907561622577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11113200, while the sum is 58.

The spelling of 100907561622577 in words is "one hundred trillion, nine hundred seven billion, five hundred sixty-one million, six hundred twenty-two thousand, five hundred seventy-seven".