101101112221 has 8 divisors (see below), whose sum is σ = 104685226200. Its totient is φ = 97523522880.

The previous prime is 101101112153. The next prime is 101101112243. The reversal of 101101112221 is 122211101101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36896647225 + 64204464996 = 192085^2 + 253386^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101112221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101112921) 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, 1599610 + ... + 1661611.

It is an arithmetic number, because the mean of its divisors is an integer number (13085653275).

Almost surely, 2^101101112221 is an apocalyptic number.

It is an amenable number.

101101112221 is a deficient number, since it is larger than the sum of its proper divisors (3584113979).

101101112221 is a wasteful number, since it uses less digits than its factorization.

101101112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262319.

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

Adding to 101101112221 its reverse (122211101101), we get a palindrome (223312213322).

The spelling of 101101112221 in words is "one hundred one billion, one hundred one million, one hundred twelve thousand, two hundred twenty-one".