101222010221221 has 8 divisors (see below), whose sum is σ = 103788750303864. Its totient is φ = 98679599428800.

The previous prime is 101222010221219. The next prime is 101222010221237. The reversal of 101222010221221 is 122122010222101.

It can be written as a sum of positive squares in 4 ways, for example, as 3192704270596 + 98029305950625 = 1786814^2 + 9900975^2 .

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 101222010221221 - 2¹ = 101222010221219 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222010221621) 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, 6082314130 + ... + 6082330771.

It is an arithmetic number, because the mean of its divisors is an integer number (12973593787983).

Almost surely, 2^{101222010221221} is an apocalyptic number.

It is an amenable number.

101222010221221 is a deficient number, since it is larger than the sum of its proper divisors (2566740082643).

101222010221221 is a wasteful number, since it uses less digits than its factorization.

101222010221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12164645111.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101222010221221 its reverse (122122010222101), we get a palindrome (223344020443322).

The spelling of 101222010221221 in words is "one hundred one trillion, two hundred twenty-two billion, ten million, two hundred twenty-one thousand, two hundred twenty-one".