201012221011121 has 8 divisors (see below), whose sum is σ = 216478828881000. Its totient is φ = 185546203045632.

The previous prime is 201012221011109. The next prime is 201012221011157. The reversal of 201012221011121 is 121110122210102.

201012221011121 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 2671868122225 + 198340352888896 = 1634585^2 + 14083336^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-201012221011121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201012221011121.

It is not an unprimeable number, because it can be changed into a prime (201012221016121) 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, 146768246 + ... + 148131503.

It is an arithmetic number, because the mean of its divisors is an integer number (27059853610125).

Almost surely, 2^{201012221011121} is an apocalyptic number.

It is an amenable number.

201012221011121 is a deficient number, since it is larger than the sum of its proper divisors (15466607869879).

201012221011121 is a wasteful number, since it uses less digits than its factorization.

201012221011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294952195.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 201012221011121 its reverse (121110122210102), we get a palindrome (322122343221223).

The spelling of 201012221011121 in words is "two hundred one trillion, twelve billion, two hundred twenty-one million, eleven thousand, one hundred twenty-one".