101223121113 has 6 divisors (see below), whose sum is σ = 146211174954. Its totient is φ = 67482080736.

The previous prime is 101223121099. The next prime is 101223121211. The reversal of 101223121113 is 311121322101.

It can be written as a sum of positive squares in only one way, i.e., 99450037449 + 1773083664 = 315357^2 + 42108^2 .

It is not a de Polignac number, because 101223121113 - 2⁹ = 101223120601 is a prime.

It is a super-2 number, since 2×101223121113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101223121613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5623506720 + ... + 5623506737.

It is an arithmetic number, because the mean of its divisors is an integer number (24368529159).

Almost surely, 2^101223121113 is an apocalyptic number.

It is an amenable number.

101223121113 is a deficient number, since it is larger than the sum of its proper divisors (44988053841).

101223121113 is a wasteful number, since it uses less digits than its factorization.

101223121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11247013463 (or 11247013460 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101223121113 its reverse (311121322101), we get a palindrome (412344443214).

The spelling of 101223121113 in words is "one hundred one billion, two hundred twenty-three million, one hundred twenty-one thousand, one hundred thirteen".