101123221213 has 16 divisors (see below), whose sum is σ = 116412422400. Its totient is φ = 86045452416.

The previous prime is 101123221187. The next prime is 101123221237. The reversal of 101123221213 is 312122321101.

It is not a de Polignac number, because 101123221213 - 2¹⁷ = 101123090141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123221013) 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 15 ways as a sum of consecutive naturals, for example, 1832481 + ... + 1886857.

It is an arithmetic number, because the mean of its divisors is an integer number (7275776400).

Almost surely, 2^101123221213 is an apocalyptic number.

It is an amenable number.

101123221213 is a deficient number, since it is larger than the sum of its proper divisors (15289201187).

101123221213 is a wasteful number, since it uses less digits than its factorization.

101123221213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56316.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101123221213 its reverse (312122321101), we get a palindrome (413245542314).

The spelling of 101123221213 in words is "one hundred one billion, one hundred twenty-three million, two hundred twenty-one thousand, two hundred thirteen".