901101011001001 has 16 divisors (see below), whose sum is σ = 905155236000000. Its totient is φ = 897049192364416.

The previous prime is 901101011000987. The next prime is 901101011001011. The reversal of 901101011001001 is 100100110101109.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-901101011001001 is a prime.

It is a super-3 number, since 3×901101011001001³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (901101011001011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13232186850 + ... + 13232254948.

It is an arithmetic number, because the mean of its divisors is an integer number (56572202250000).

Almost surely, 2^{901101011001001} is an apocalyptic number.

It is an amenable number.

901101011001001 is a deficient number, since it is larger than the sum of its proper divisors (4054224998999).

901101011001001 is a wasteful number, since it uses less digits than its factorization.

901101011001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84896.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 901101011001001 in words is "nine hundred one trillion, one hundred one billion, eleven million, one thousand, one".