1101010000221 has 24 divisors (see below), whose sum is σ = 1634777413880. Its totient is φ = 713535837696.

The previous prime is 1101010000213. The next prime is 1101010000249. The reversal of 1101010000221 is 1220000101011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88191180900 + 1012818819321 = 296970^2 + 1006389^2 .

It is not a de Polignac number, because 1101010000221 - 2³ = 1101010000213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101010050221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1088320 + ... + 1840233.

Almost surely, 2^{1101010000221} is an apocalyptic number.

It is an amenable number.

1101010000221 is a deficient number, since it is larger than the sum of its proper divisors (533767413659).

1101010000221 is a wasteful number, since it uses less digits than its factorization.

1101010000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929725 (or 2929722 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1101010000221 its reverse (1220000101011), we get a palindrome (2321010101232).

The spelling of 1101010000221 in words is "one trillion, one hundred one billion, ten million, two hundred twenty-one", and thus it is an aban number.