1000201122221 has 32 divisors (see below), whose sum is σ = 1175562485760. Its totient is φ = 833391509184.

The previous prime is 1000201122209. The next prime is 1000201122257. The reversal of 1000201122221 is 1222211020001.

1000201122221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1000201122221 - 2¹⁸ = 1000200860077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000201122196 and 1000201122205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000201122281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9803156 + ... + 9904658.

It is an arithmetic number, because the mean of its divisors is an integer number (36736327680).

Almost surely, 2^{1000201122221} is an apocalyptic number.

It is an amenable number.

1000201122221 is a deficient number, since it is larger than the sum of its proper divisors (175361363539).

1000201122221 is a wasteful number, since it uses less digits than its factorization.

1000201122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101865.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1000201122221 its reverse (1222211020001), we get a palindrome (2222412142222).

The spelling of 1000201122221 in words is "one trillion, two hundred one million, one hundred twenty-two thousand, two hundred twenty-one".