90101110531121 has 2 divisors, whose sum is σ = 90101110531122. Its totient is φ = 90101110531120.

The previous prime is 90101110531073. The next prime is 90101110531141. The reversal of 90101110531121 is 12113501110109.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87365212588096 + 2735897943025 = 9346936^2 + 1654055^2 .

It is a cyclic number.

It is not a de Polignac number, because 90101110531121 - 2⁶ = 90101110531057 is a prime.

It is not a weakly prime, because it can be changed into another prime (90101110531141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45050555265560 + 45050555265561.

It is an arithmetic number, because the mean of its divisors is an integer number (45050555265561).

Almost surely, 2^{90101110531121} is an apocalyptic number.

It is an amenable number.

90101110531121 is a deficient number, since it is larger than the sum of its proper divisors (1).

90101110531121 is an equidigital number, since it uses as much as digits as its factorization.

90101110531121 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 26.

The spelling of 90101110531121 in words is "ninety trillion, one hundred one billion, one hundred ten million, five hundred thirty-one thousand, one hundred twenty-one".