101231111221 has 8 divisors (see below), whose sum is σ = 101356502040. Its totient is φ = 101105799168.

The previous prime is 101231111207. The next prime is 101231111231. The reversal of 101231111221 is 122111132101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 266048721 + 100965062500 = 16311^2 + 317750^2 .

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 101231111221 - 2⁹ = 101231110709 is a prime.

It is a super-2 number, since 2×101231111221² (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 = 101231111195 and 101231111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101231111231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2795785 + ... + 2831761.

It is an arithmetic number, because the mean of its divisors is an integer number (12669562755).

Almost surely, 2^101231111221 is an apocalyptic number.

It is an amenable number.

101231111221 is a deficient number, since it is larger than the sum of its proper divisors (125390819).

101231111221 is a wasteful number, since it uses less digits than its factorization.

101231111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39383.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101231111221 its reverse (122111132101), we get a palindrome (223342243322).

The spelling of 101231111221 in words is "one hundred one billion, two hundred thirty-one million, one hundred eleven thousand, two hundred twenty-one".