1010012001221 has 4 divisors (see below), whose sum is σ = 1010018681100. Its totient is φ = 1010005321344.

The previous prime is 1010012001211. The next prime is 1010012001223. The reversal of 1010012001221 is 1221002100101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 688715752321 + 321296248900 = 829889^2 + 566830^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010012001221 - 2²⁶ = 1009944892357 is a prime.

It is a super-2 number, since 2×1010012001221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010012001223) 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 3 ways as a sum of consecutive naturals, for example, 3107756 + ... + 3417333.

It is an arithmetic number, because the mean of its divisors is an integer number (252504670275).

Almost surely, 2^{1010012001221} is an apocalyptic number.

It is an amenable number.

1010012001221 is a deficient number, since it is larger than the sum of its proper divisors (6679879).

1010012001221 is an equidigital number, since it uses as much as digits as its factorization.

1010012001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679878.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1010012001221 its reverse (1221002100101), we get a palindrome (2231014101322).

The spelling of 1010012001221 in words is "one trillion, ten billion, twelve million, one thousand, two hundred twenty-one".