101100213221 has 8 divisors (see below), whose sum is σ = 119527345920. Its totient is φ = 83669141808.

The previous prime is 101100213197. The next prime is 101100213223. The reversal of 101100213221 is 122312001101.

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

It is not a de Polignac number, because 101100213221 - 2³⁴ = 83920344037 is a prime.

It is a super-2 number, since 2×101100213221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100213196 and 101100213205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100213223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249015101 + ... + 249015506.

It is an arithmetic number, because the mean of its divisors is an integer number (14940918240).

Almost surely, 2^101100213221 is an apocalyptic number.

It is an amenable number.

101100213221 is a deficient number, since it is larger than the sum of its proper divisors (18427132699).

101100213221 is an equidigital number, since it uses as much as digits as its factorization.

101100213221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498030643.

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

Adding to 101100213221 its reverse (122312001101), we get a palindrome (223412214322).

The spelling of 101100213221 in words is "one hundred one billion, one hundred million, two hundred thirteen thousand, two hundred twenty-one".