1010221220101 has 16 divisors (see below), whose sum is σ = 1072985438448. Its totient is φ = 947831987200.

The previous prime is 1010221220059. The next prime is 1010221220117.

1010221220101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 119087108100 + 891134112001 = 345090^2 + 943999^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010221220101 - 2¹¹ = 1010221218053 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 (1010221220171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8254311 + ... + 8375803.

It is an arithmetic number, because the mean of its divisors is an integer number (67061589903).

Almost surely, 2^{1010221220101} is an apocalyptic number.

It is an amenable number.

1010221220101 is a deficient number, since it is larger than the sum of its proper divisors (62764218347).

1010221220101 is a wasteful number, since it uses less digits than its factorization.

1010221220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123032.

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

The spelling of 1010221220101 in words is "one trillion, ten billion, two hundred twenty-one million, two hundred twenty thousand, one hundred one".