221002220212001 has 8 divisors (see below), whose sum is σ = 224031511115784. Its totient is φ = 217972979665920.

The previous prime is 221002220211977. The next prime is 221002220212009. The reversal of 221002220212001 is 100212022200122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10670316237025 + 210331903974976 = 3266545^2 + 14502824^2 .

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 221002220212001 - 2⁴⁶ = 150633476034337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221002220212009) 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, 3709340 + ... + 21348621.

It is an arithmetic number, because the mean of its divisors is an integer number (28003938889473).

Almost surely, 2^{221002220212001} is an apocalyptic number.

It is an amenable number.

221002220212001 is a deficient number, since it is larger than the sum of its proper divisors (3029290903783).

221002220212001 is a wasteful number, since it uses less digits than its factorization.

221002220212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25178851.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221002220212001 its reverse (100212022200122), we get a palindrome (321214242412123).

The spelling of 221002220212001 in words is "two hundred twenty-one trillion, two billion, two hundred twenty million, two hundred twelve thousand, one".