101102013221 has 8 divisors (see below), whose sum is σ = 110460477600. Its totient is φ = 91771444240.

The previous prime is 101102013203. The next prime is 101102013223. The reversal of 101102013221 is 122310201101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101102013221 - 2³⁴ = 83922144037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102013196 and 101102013205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102013223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6966266 + ... + 6980763.

It is an arithmetic number, because the mean of its divisors is an integer number (13807559700).

Almost surely, 2^101102013221 is an apocalyptic number.

101102013221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102013221 is a deficient number, since it is larger than the sum of its proper divisors (9358464379).

101102013221 is a wasteful number, since it uses less digits than its factorization.

101102013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13947699.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101102013221 its reverse (122310201101), we get a palindrome (223412214322).

The spelling of 101102013221 in words is "one hundred one billion, one hundred two million, thirteen thousand, two hundred twenty-one".