120211220010221 has 8 divisors (see below), whose sum is σ = 120838300431288. Its totient is φ = 119585199744000.

The previous prime is 120211220010209. The next prime is 120211220010229. The reversal of 120211220010221 is 122010022112021.

It can be written as a sum of positive squares in 4 ways, for example, as 30200366376196 + 90010853634025 = 5495486^2 + 9487405^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 120211220010221 - 2²² = 120211215815917 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 120211220010221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211220010229) 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, 264811340 + ... + 265264901.

It is an arithmetic number, because the mean of its divisors is an integer number (15104787553911).

Almost surely, 2^{120211220010221} is an apocalyptic number.

It is an amenable number.

120211220010221 is a deficient number, since it is larger than the sum of its proper divisors (627080421067).

120211220010221 is an equidigital number, since it uses as much as digits as its factorization.

120211220010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530077423.

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

Adding to 120211220010221 its reverse (122010022112021), we get a palindrome (242221242122242).

The spelling of 120211220010221 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred twenty million, ten thousand, two hundred twenty-one".