1010010221221 has 8 divisors (see below), whose sum is σ = 1017074311704. Its totient is φ = 1002969876480.

The previous prime is 1010010221189. The next prime is 1010010221237. The reversal of 1010010221221 is 1221220100101.

It can be written as a sum of positive squares in 4 ways, for example, as 437701328100 + 572308893121 = 661590^2 + 756511^2 .

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 1010010221221 - 2⁵ = 1010010221189 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 (1010010221291) 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, 5851066 + ... + 6021211.

It is an arithmetic number, because the mean of its divisors is an integer number (127134288963).

Almost surely, 2^{1010010221221} is an apocalyptic number.

It is an amenable number.

1010010221221 is a deficient number, since it is larger than the sum of its proper divisors (7064090483).

1010010221221 is a wasteful number, since it uses less digits than its factorization.

1010010221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11872871.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1010010221221 its reverse (1221220100101), we get a palindrome (2231230321322).

The spelling of 1010010221221 in words is "one trillion, ten billion, ten million, two hundred twenty-one thousand, two hundred twenty-one".