90021413022001 has 8 divisors (see below), whose sum is σ = 91034735711400. Its totient is φ = 89008131358080.

The previous prime is 90021413021989. The next prime is 90021413022019. The reversal of 90021413022001 is 10022031412009.

It can be written as a sum of positive squares in 4 ways, for example, as 29744807054400 + 60276605967601 = 5453880^2 + 7763801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90021413022001 - 2¹¹ = 90021413019953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90021413022031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5832430 + ... + 14630791.

It is an arithmetic number, because the mean of its divisors is an integer number (11379341963925).

Almost surely, 2^{90021413022001} is an apocalyptic number.

It is an amenable number.

90021413022001 is a deficient number, since it is larger than the sum of its proper divisors (1013322689399).

90021413022001 is a wasteful number, since it uses less digits than its factorization.

90021413022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20512739.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 90021413022001 in words is "ninety trillion, twenty-one billion, four hundred thirteen million, twenty-two thousand, one".