201221211201001 has 16 divisors (see below), whose sum is σ = 222851733148800. Its totient is φ = 180718212936448.

The previous prime is 201221211200983. The next prime is 201221211201053. The reversal of 201221211201001 is 100102112122102.

It is a cyclic number.

It is not a de Polignac number, because 201221211201001 - 2⁵ = 201221211200969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201221211201601) 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, 613955806 + ... + 614283463.

It is an arithmetic number, because the mean of its divisors is an integer number (13928233321800).

Almost surely, 2^{201221211201001} is an apocalyptic number.

It is an amenable number.

201221211201001 is a deficient number, since it is larger than the sum of its proper divisors (21630521947799).

201221211201001 is a wasteful number, since it uses less digits than its factorization.

201221211201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228239728.

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

Adding to 201221211201001 its reverse (100102112122102), we get a palindrome (301323323323103).

The spelling of 201221211201001 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred eleven million, two hundred one thousand, one".