101231112313221 has 8 divisors (see below), whose sum is σ = 147245254273824. Its totient is φ = 61352189280720.

The previous prime is 101231112313213. The next prime is 101231112313249. The reversal of 101231112313221 is 122313211132101.

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

It is not a de Polignac number, because 101231112313221 - 2³ = 101231112313213 is a prime.

It is a super-2 number, since 2×101231112313221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101231112313191 and 101231112313200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101231112313291) 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 7 ways as a sum of consecutive naturals, for example, 1533804731986 + ... + 1533804732051.

It is an arithmetic number, because the mean of its divisors is an integer number (18405656784228).

Almost surely, 2^{101231112313221} is an apocalyptic number.

101231112313221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101231112313221 is a deficient number, since it is larger than the sum of its proper divisors (46014141960603).

101231112313221 is a wasteful number, since it uses less digits than its factorization.

101231112313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067609464051.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 101231112313221 its reverse (122313211132101), we get a palindrome (223544323445322).

The spelling of 101231112313221 in words is "one hundred one trillion, two hundred thirty-one billion, one hundred twelve million, three hundred thirteen thousand, two hundred twenty-one".