101221022211101 has 24 divisors (see below), whose sum is σ = 110339738009856. Its totient is φ = 92810454634560.

The previous prime is 101221022211031. The next prime is 101221022211139. The reversal of 101221022211101 is 101112220122101.

It is not a de Polignac number, because 101221022211101 - 2¹⁴ = 101221022194717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101221022211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221022211181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30679016 + ... + 33817806.

It is an arithmetic number, because the mean of its divisors is an integer number (4597489083744).

Almost surely, 2^{101221022211101} is an apocalyptic number.

It is an amenable number.

101221022211101 is a deficient number, since it is larger than the sum of its proper divisors (9118715798755).

101221022211101 is a wasteful number, since it uses less digits than its factorization.

101221022211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140093 (or 3140080 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101221022211101 its reverse (101112220122101), we get a palindrome (202333242333202).

The spelling of 101221022211101 in words is "one hundred one trillion, two hundred twenty-one billion, twenty-two million, two hundred eleven thousand, one hundred one".