101222021000221 has 24 divisors (see below), whose sum is σ = 116283708709560. Its totient is φ = 87930967111680.

The previous prime is 101222021000203. The next prime is 101222021000227. The reversal of 101222021000221 is 122000120222101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 553186375225 + 100668834624996 = 743765^2 + 10033386^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101222021000221 is a prime.

It is a super-2 number, since 2×101222021000221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101222021000195 and 101222021000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222021000227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148352416 + ... + 149033161.

It is an arithmetic number, because the mean of its divisors is an integer number (4845154529565).

Almost surely, 2^{101222021000221} is an apocalyptic number.

101222021000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101222021000221 is a deficient number, since it is larger than the sum of its proper divisors (15061687709339).

101222021000221 is a wasteful number, since it uses less digits than its factorization.

101222021000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297385725 (or 297385714 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101222021000221 its reverse (122000120222101), we get a palindrome (223222141222322).

The spelling of 101222021000221 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-one million, two hundred twenty-one", and thus it is an aban number.