201021021012221 has 8 divisors (see below), whose sum is σ = 207959095765080. Its totient is φ = 194083367286592.

The previous prime is 201021021012211. The next prime is 201021021012293. The reversal of 201021021012221 is 122210120120102.

It can be written as a sum of positive squares in 4 ways, for example, as 11242541940100 + 189778479072121 = 3352990^2 + 13776011^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201021021012221 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 201021021012221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201021021012211) 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, 104285270 + ... + 106195383.

It is an arithmetic number, because the mean of its divisors is an integer number (25994886970635).

Almost surely, 2^{201021021012221} is an apocalyptic number.

It is an amenable number.

201021021012221 is a deficient number, since it is larger than the sum of its proper divisors (6938074752859).

201021021012221 is a wasteful number, since it uses less digits than its factorization.

201021021012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210513615.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201021021012221 its reverse (122210120120102), we get a palindrome (323231141132323).

The spelling of 201021021012221 in words is "two hundred one trillion, twenty-one billion, twenty-one million, twelve thousand, two hundred twenty-one".