100166788321 has 2 divisors, whose sum is σ = 100166788322. Its totient is φ = 100166788320.

The previous prime is 100166788283. The next prime is 100166788327. The reversal of 100166788321 is 123887661001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94381056225 + 5785732096 = 307215^2 + 76064^2 .

It is a cyclic number.

It is not a de Polignac number, because 100166788321 - 2¹⁷ = 100166657249 is a prime.

It is not a weakly prime, because it can be changed into another prime (100166788327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50083394160 + 50083394161.

It is an arithmetic number, because the mean of its divisors is an integer number (50083394161).

Almost surely, 2^100166788321 is an apocalyptic number.

It is an amenable number.

100166788321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100166788321 is an equidigital number, since it uses as much as digits as its factorization.

100166788321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 100166788321 in words is "one hundred billion, one hundred sixty-six million, seven hundred eighty-eight thousand, three hundred twenty-one".