900090141185101 has 2 divisors, whose sum is σ = 900090141185102. Its totient is φ = 900090141185100.

The previous prime is 900090141185083. The next prime is 900090141185197. The reversal of 900090141185101 is 101581141090009.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 486344071304100 + 413746069881001 = 22053210^2 + 20340749^2 .

It is a cyclic number.

It is not a de Polignac number, because 900090141185101 - 2⁷ = 900090141184973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (900090141186101) 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, 450045070592550 + 450045070592551.

It is an arithmetic number, because the mean of its divisors is an integer number (450045070592551).

Almost surely, 2^{900090141185101} is an apocalyptic number.

It is an amenable number.

900090141185101 is a deficient number, since it is larger than the sum of its proper divisors (1).

900090141185101 is an equidigital number, since it uses as much as digits as its factorization.

900090141185101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 40.

The spelling of 900090141185101 in words is "nine hundred trillion, ninety billion, one hundred forty-one million, one hundred eighty-five thousand, one hundred one".