901211122001 has 8 divisors (see below), whose sum is σ = 903185347680. Its totient is φ = 899238676032.

The previous prime is 901211121991. The next prime is 901211122037. The reversal of 901211122001 is 100221112109.

901211122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 901211122001 - 2¹⁴ = 901211105617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (901211122051) 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, 571481 + ... + 1459113.

It is an arithmetic number, because the mean of its divisors is an integer number (112898168460).

Almost surely, 2^901211122001 is an apocalyptic number.

It is an amenable number.

901211122001 is a deficient number, since it is larger than the sum of its proper divisors (1974225679).

901211122001 is a wasteful number, since it uses less digits than its factorization.

901211122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889855.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 901211122001 in words is "nine hundred one billion, two hundred eleven million, one hundred twenty-two thousand, one".