101102012113221 has 24 divisors (see below), whose sum is σ = 167151820080960. Its totient is φ = 57684911288256.

The previous prime is 101102012113171. The next prime is 101102012113331. The reversal of 101102012113221 is 122311210201101.

It is a happy number.

101102012113221 is a `hidden beast` number, since 1 + 0 + 110 + 20 + 1 + 211 + 322 + 1 = 666.

It is not a de Polignac number, because 101102012113221 - 2¹⁷ = 101102011982149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102012113194 and 101102012113203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102012513221) 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, 1217556240 + ... + 1217639273.

It is an arithmetic number, because the mean of its divisors is an integer number (6964659170040).

Almost surely, 2^{101102012113221} is an apocalyptic number.

It is an amenable number.

101102012113221 is a deficient number, since it is larger than the sum of its proper divisors (66049807967739).

101102012113221 is a wasteful number, since it uses less digits than its factorization.

101102012113221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435196185 (or 2435196182 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101102012113221 its reverse (122311210201101), we get a palindrome (223413222314322).

The spelling of 101102012113221 in words is "one hundred one trillion, one hundred two billion, twelve million, one hundred thirteen thousand, two hundred twenty-one".