101112110111221 has 8 divisors (see below), whose sum is σ = 116792597775744. Its totient is φ = 86513035389120.

The previous prime is 101112110111171. The next prime is 101112110111237. The reversal of 101112110111221 is 122111011211101.

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 101112110111221 - 2²³ = 101112101722613 is a prime.

It is a super-2 number, since 2×101112110111221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112110111195 and 101112110111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112110111251) 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, 270353235405 + ... + 270353235778.

It is an arithmetic number, because the mean of its divisors is an integer number (14599074721968).

Almost surely, 2^{101112110111221} is an apocalyptic number.

101112110111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112110111221 is a deficient number, since it is larger than the sum of its proper divisors (15680487664523).

101112110111221 is a wasteful number, since it uses less digits than its factorization.

101112110111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540706471211.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101112110111221 its reverse (122111011211101), we get a palindrome (223223121322322).

The spelling of 101112110111221 in words is "one hundred one trillion, one hundred twelve billion, one hundred ten million, one hundred eleven thousand, two hundred twenty-one".