90101101000011 has 32 divisors (see below), whose sum is σ = 122165327865600. Its totient is φ = 59060558544000.

The previous prime is 90101100999997. The next prime is 90101101000039. The reversal of 90101101000011 is 11000010110109.

It is not a de Polignac number, because 90101101000011 - 2¹³ = 90101100991819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90101101800011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207594856 + ... + 208028426.

It is an arithmetic number, because the mean of its divisors is an integer number (3817666495800).

Almost surely, 2^{90101101000011} is an apocalyptic number.

90101101000011 is a deficient number, since it is larger than the sum of its proper divisors (32064226865589).

90101101000011 is a wasteful number, since it uses less digits than its factorization.

90101101000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438427.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 90101101000011 in words is "ninety trillion, one hundred one billion, one hundred one million, eleven", and thus it is an aban number.