10012001112221 has 32 divisors (see below), whose sum is σ = 10600714529280. Its totient is φ = 9429678720000.

The previous prime is 10012001112151. The next prime is 10012001112299. The reversal of 10012001112221 is 12221110021001.

It is not a de Polignac number, because 10012001112221 - 2²² = 10011996917917 is a prime.

It is a super-2 number, since 2×10012001112221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012001112196 and 10012001112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012001112121) 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 31 ways as a sum of consecutive naturals, for example, 5266701371 + ... + 5266703271.

It is an arithmetic number, because the mean of its divisors is an integer number (331272329040).

Almost surely, 2^{10012001112221} is an apocalyptic number.

It is an amenable number.

10012001112221 is a deficient number, since it is larger than the sum of its proper divisors (588713417059).

10012001112221 is a wasteful number, since it uses less digits than its factorization.

10012001112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10012001112221 its reverse (12221110021001), we get a palindrome (22233111133222).

The spelling of 10012001112221 in words is "ten trillion, twelve billion, one million, one hundred twelve thousand, two hundred twenty-one".