90038110901 has 2 divisors, whose sum is σ = 90038110902. Its totient is φ = 90038110900.

The previous prime is 90038110873. The next prime is 90038110913. The reversal of 90038110901 is 10901183009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82728715876 + 7309395025 = 287626^2 + 85495^2 .

It is an emirp because it is prime and its reverse (10901183009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90038110901 - 2³⁴ = 72858241717 is a prime.

It is a super-2 number, since 2×90038110901² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90038110961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45019055450 + 45019055451.

It is an arithmetic number, because the mean of its divisors is an integer number (45019055451).

Almost surely, 2^90038110901 is an apocalyptic number.

It is an amenable number.

90038110901 is a deficient number, since it is larger than the sum of its proper divisors (1).

90038110901 is an equidigital number, since it uses as much as digits as its factorization.

90038110901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 90038110901 in words is "ninety billion, thirty-eight million, one hundred ten thousand, nine hundred one".