90101101000010 has 16 divisors (see below), whose sum is σ = 162187238958696. Its totient is φ = 36039272142528.

The previous prime is 90101100999997. The next prime is 90101101000039. The reversal of 90101101000010 is 1000010110109.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51314972921809 + 38786128078201 = 7163447^2 + 6227851^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145708229 + ... + 146325288.

Almost surely, 2^{90101101000010} is an apocalyptic number.

90101101000010 is a deficient number, since it is larger than the sum of its proper divisors (72086137958686).

90101101000010 is a wasteful number, since it uses less digits than its factorization.

90101101000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292064377.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 90101101000010 its reverse (1000010110109), we get a palindrome (91101111110119).

The spelling of 90101101000010 in words is "ninety trillion, one hundred one billion, one hundred one million, ten", and thus it is an aban number.