101221000101 has 18 divisors (see below), whose sum is σ = 158320028178. Its totient is φ = 62289845280.

The previous prime is 101221000087. The next prime is 101221000117. The reversal of 101221000101 is 101000122101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7845530625 + 93375469476 = 88575^2 + 305574^2 .

It is not a de Polignac number, because 101221000101 - 2⁶ = 101221000037 is a prime.

It is a super-2 number, since 2×101221000101² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221000801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33272970 + ... + 33276011.

It is an arithmetic number, because the mean of its divisors is an integer number (8795557121).

Almost surely, 2^101221000101 is an apocalyptic number.

It is an amenable number.

101221000101 is a deficient number, since it is larger than the sum of its proper divisors (57099028077).

101221000101 is a wasteful number, since it uses less digits than its factorization.

101221000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66549013 (or 66548997 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101221000101 its reverse (101000122101), we get a palindrome (202221122202).

The spelling of 101221000101 in words is "one hundred one billion, two hundred twenty-one million, one hundred one", and thus it is an aban number.