100111012009153 has 2 divisors, whose sum is σ = 100111012009154. Its totient is φ = 100111012009152.

The previous prime is 100111012009109. The next prime is 100111012009163. The reversal of 100111012009153 is 351900210111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56631389296689 + 43479622712464 = 7525383^2 + 6593908^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111012009153 - 2⁹ = 100111012008641 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111012009163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055506004576 + 50055506004577.

It is an arithmetic number, because the mean of its divisors is an integer number (50055506004577).

Almost surely, 2^{100111012009153} is an apocalyptic number.

It is an amenable number.

100111012009153 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111012009153 is an equidigital number, since it uses as much as digits as its factorization.

100111012009153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 25.

The spelling of 100111012009153 in words is "one hundred trillion, one hundred eleven billion, twelve million, nine thousand, one hundred fifty-three".