201221021001 has 192 divisors, whose sum is σ = 379721779200. Its totient is φ = 93848751360.

The previous prime is 201221020937. The next prime is 201221021011. The reversal of 201221021001 is 100120122102.

It is not a de Polignac number, because 201221021001 - 2⁶ = 201221020937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201221021011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70776286 + ... + 70779128.

It is an arithmetic number, because the mean of its divisors is an integer number (1977717600).

Almost surely, 2^201221021001 is an apocalyptic number.

201221021001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201221021001 is a deficient number, since it is larger than the sum of its proper divisors (178500758199).

201221021001 is a wasteful number, since it uses less digits than its factorization.

201221021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201221021001 its reverse (100120122102), we get a palindrome (301341143103).

It can be divided in two parts, 20122102 and 1001, that multiplied together give a palindrome (20142224102).

The spelling of 201221021001 in words is "two hundred one billion, two hundred twenty-one million, twenty-one thousand, one".