90010012001 has 16 divisors (see below), whose sum is σ = 111116277888. Its totient is φ = 71001532800.

The previous prime is 90010011983. The next prime is 90010012049. The reversal of 90010012001 is 10021001009.

It is a cyclic number.

It is not a de Polignac number, because 90010012001 - 2¹⁴ = 90009995617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90010011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464020 + ... + 1524261.

It is an arithmetic number, because the mean of its divisors is an integer number (6944767368).

Almost surely, 2^90010012001 is an apocalyptic number.

90010012001 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

90010012001 is a deficient number, since it is larger than the sum of its proper divisors (21106265887).

90010012001 is a wasteful number, since it uses less digits than its factorization.

90010012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988632.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 90010012001 in words is "ninety billion, ten million, twelve thousand, one".