1010010002221 has 12 divisors (see below), whose sum is σ = 1110370423932. Its totient is φ = 918030344000.

The previous prime is 1010010002213. The next prime is 1010010002279. The reversal of 1010010002221 is 1222000100101.

1010010002221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 835056026596 + 174953975625 = 913814^2 + 418275^2 .

It is not a de Polignac number, because 1010010002221 - 2³ = 1010010002213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010010002198 and 1010010002207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010010002291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32320 + ... + 1421641.

It is an arithmetic number, because the mean of its divisors is an integer number (92530868661).

Almost surely, 2^{1010010002221} is an apocalyptic number.

1010010002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010010002221 is a deficient number, since it is larger than the sum of its proper divisors (100360421711).

1010010002221 is a wasteful number, since it uses less digits than its factorization.

1010010002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459724 (or 1459713 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010010002221 its reverse (1222000100101), we get a palindrome (2232010102322).

The spelling of 1010010002221 in words is "one trillion, ten billion, ten million, two thousand, two hundred twenty-one".