101101001221221 has 16 divisors (see below), whose sum is σ = 134960962542336. Its totient is φ = 67320855562176.

The previous prime is 101101001221219. The next prime is 101101001221307. The reversal of 101101001221221 is 122122100101101.

It is a happy number.

It is not a de Polignac number, because 101101001221221 - 2¹ = 101101001221219 is a prime.

It is a super-3 number, since 3×101101001221221³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101101001221221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101001221621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283699476 + ... + 284055618.

It is an arithmetic number, because the mean of its divisors is an integer number (8435060158896).

Almost surely, 2^{101101001221221} is an apocalyptic number.

It is an amenable number.

101101001221221 is a deficient number, since it is larger than the sum of its proper divisors (33859961321115).

101101001221221 is a wasteful number, since it uses less digits than its factorization.

101101001221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467932.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101101001221221 its reverse (122122100101101), we get a palindrome (223223101322322).

The spelling of 101101001221221 in words is "one hundred one trillion, one hundred one billion, one million, two hundred twenty-one thousand, two hundred twenty-one".