100001100109969 has 2 divisors, whose sum is σ = 100001100109970. Its totient is φ = 100001100109968.

The previous prime is 100001100109931. The next prime is 100001100109973. The reversal of 100001100109969 is 969901001100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99890769844369 + 110330265600 = 9994537^2 + 332160^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001100109969 - 2¹¹ = 100001100107921 is a prime.

It is a super-2 number, since 2×100001100109969² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100001100109909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000550054984 + 50000550054985.

It is an arithmetic number, because the mean of its divisors is an integer number (50000550054985).

Almost surely, 2^{100001100109969} is an apocalyptic number.

It is an amenable number.

100001100109969 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001100109969 is an equidigital number, since it uses as much as digits as its factorization.

100001100109969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 37.

The spelling of 100001100109969 in words is "one hundred trillion, one billion, one hundred million, one hundred nine thousand, nine hundred sixty-nine".