101201221200221 has 16 divisors (see below), whose sum is σ = 103220770598400. Its totient is φ = 99197065110528.

The previous prime is 101201221200169. The next prime is 101201221200227. The reversal of 101201221200221 is 122002122102101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101201221200221 is a prime.

It is a super-3 number, since 3×101201221200221³ (a number of 43 digits) contains 333 as substring.

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 101201221200221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201221200227) 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, 30218645 + ... + 33400133.

It is an arithmetic number, because the mean of its divisors is an integer number (6451298162400).

Almost surely, 2^{101201221200221} is an apocalyptic number.

It is an amenable number.

101201221200221 is a deficient number, since it is larger than the sum of its proper divisors (2019549398179).

101201221200221 is a wasteful number, since it uses less digits than its factorization.

101201221200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183908.

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

Adding to 101201221200221 its reverse (122002122102101), we get a palindrome (223203343302322).

The spelling of 101201221200221 in words is "one hundred one trillion, two hundred one billion, two hundred twenty-one million, two hundred thousand, two hundred twenty-one".