1020111998161 has 2 divisors, whose sum is σ = 1020111998162. Its totient is φ = 1020111998160.

The previous prime is 1020111998141. The next prime is 1020111998177. The reversal of 1020111998161 is 1618991110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 960243206400 + 59868791761 = 979920^2 + 244681^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020111998161 - 2²⁷ = 1019977780433 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020111998111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510055999080 + 510055999081.

It is an arithmetic number, because the mean of its divisors is an integer number (510055999081).

Almost surely, 2^{1020111998161} is an apocalyptic number.

It is an amenable number.

1020111998161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020111998161 is an equidigital number, since it uses as much as digits as its factorization.

1020111998161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 40.

The spelling of 1020111998161 in words is "one trillion, twenty billion, one hundred eleven million, nine hundred ninety-eight thousand, one hundred sixty-one".