101221221000001 has 4 divisors (see below), whose sum is σ = 101221770484612. Its totient is φ = 101220671515392.

The previous prime is 101221220999981. The next prime is 101221221000017. The reversal of 101221221000001 is 100000122122101.

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 76594020743601 + 24627200256400 = 8751801^2 + 4962580^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221221000001 - 2³⁷ = 101083782046529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101221221000091) 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, 274465896 + ... + 274834441.

It is an arithmetic number, because the mean of its divisors is an integer number (25305442621153).

Almost surely, 2^{101221221000001} is an apocalyptic number.

It is an amenable number.

101221221000001 is a deficient number, since it is larger than the sum of its proper divisors (549484611).

101221221000001 is an equidigital number, since it uses as much as digits as its factorization.

101221221000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549484610.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101221221000001 its reverse (100000122122101), we get a palindrome (201221343122102).

The spelling of 101221221000001 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twenty-one million, one", and thus it is an aban number.