101100111111221 has 8 divisors (see below), whose sum is σ = 102630123585624. Its totient is φ = 99580471603200.

The previous prime is 101100111111187. The next prime is 101100111111239. The reversal of 101100111111221 is 122111111001101.

It can be written as a sum of positive squares in 4 ways, for example, as 16165915910596 + 84934195200625 = 4020686^2 + 9215975^2 .

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 101100111111221 - 2⁶ = 101100111111157 is a prime.

It is a super-2 number, since 2×101100111111221² (a number of 29 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 = 101100111111196 and 101100111111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100111111281) 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, 2593221956 + ... + 2593260941.

It is an arithmetic number, because the mean of its divisors is an integer number (12828765448203).

Almost surely, 2^{101100111111221} is an apocalyptic number.

It is an amenable number.

101100111111221 is a deficient number, since it is larger than the sum of its proper divisors (1530012474403).

101100111111221 is a wasteful number, since it uses less digits than its factorization.

101100111111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186483191.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101100111111221 its reverse (122111111001101), we get a palindrome (223211222112322).

The spelling of 101100111111221 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, two hundred twenty-one".