101111021221 has 6 divisors (see below), whose sum is σ = 117618943110. Its totient is φ = 86666589576.

The previous prime is 101111021197. The next prime is 101111021279. The reversal of 101111021221 is 122120111101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 51762620196 + 49348401025 = 227514^2 + 222145^2 .

It is not a de Polignac number, because 101111021221 - 2²¹ = 101108924069 is a prime.

It is a super-2 number, since 2×101111021221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111021621) 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 5 ways as a sum of consecutive naturals, for example, 1031745066 + ... + 1031745163.

It is an arithmetic number, because the mean of its divisors is an integer number (19603157185).

Almost surely, 2^101111021221 is an apocalyptic number.

It is an amenable number.

101111021221 is a deficient number, since it is larger than the sum of its proper divisors (16507921889).

101111021221 is an equidigital number, since it uses as much as digits as its factorization.

101111021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063490243 (or 2063490236 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101111021221 its reverse (122120111101), we get a palindrome (223231132322).

The spelling of 101111021221 in words is "one hundred one billion, one hundred eleven million, twenty-one thousand, two hundred twenty-one".