10001101112221 has 4 divisors (see below), whose sum is σ = 10001120853852. Its totient is φ = 10001081370592.

The previous prime is 10001101112207. The next prime is 10001101112263. The reversal of 10001101112221 is 12221110110001.

It is a happy number.

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 6141172903321 + 3859928208900 = 2478139^2 + 1964670^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001101112221 - 2⁹ = 10001101111709 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 (10001101112281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9090346 + ... + 10130971.

It is an arithmetic number, because the mean of its divisors is an integer number (2500280213463).

Almost surely, 2^{10001101112221} is an apocalyptic number.

It is an amenable number.

10001101112221 is a deficient number, since it is larger than the sum of its proper divisors (19741631).

10001101112221 is an equidigital number, since it uses as much as digits as its factorization.

10001101112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19741630.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10001101112221 its reverse (12221110110001), we get a palindrome (22222211222222).

The spelling of 10001101112221 in words is "ten trillion, one billion, one hundred one million, one hundred twelve thousand, two hundred twenty-one".