201121122102001 has 8 divisors (see below), whose sum is σ = 202143548349864. Its totient is φ = 200098711075200.

The previous prime is 201121122101987. The next prime is 201121122102053. The reversal of 201121122102001 is 100201221121102.

201121122102001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24508291842225 + 176612830259776 = 4950585^2 + 13289576^2 .

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 201121122102001 - 2⁵ = 201121122101969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201121122102071) 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, 23173531 + ... + 30647263.

It is an arithmetic number, because the mean of its divisors is an integer number (25267943543733).

Almost surely, 2^{201121122102001} is an apocalyptic number.

It is an amenable number.

201121122102001 is a deficient number, since it is larger than the sum of its proper divisors (1022426247863).

201121122102001 is a wasteful number, since it uses less digits than its factorization.

201121122102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610531.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201121122102001 its reverse (100201221121102), we get a palindrome (301322343223103).

The spelling of 201121122102001 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, one".