101112221100101 has 4 divisors (see below), whose sum is σ = 102113332200204. Its totient is φ = 100111110000000.

The previous prime is 101112221100089. The next prime is 101112221100103. The reversal of 101112221100101 is 101001122211101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 96917921196100 + 4194299904001 = 9844690^2 + 2047999^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112221100101 - 2²² = 101112216905797 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 (101112221100103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500555549900 + ... + 500555550101.

It is an arithmetic number, because the mean of its divisors is an integer number (25528333050051).

Almost surely, 2^{101112221100101} is an apocalyptic number.

It is an amenable number.

101112221100101 is a deficient number, since it is larger than the sum of its proper divisors (1001111100103).

101112221100101 is a wasteful number, since it uses less digits than its factorization.

101112221100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001111100102.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101112221100101 its reverse (101001122211101), we get a palindrome (202113343311202).

The spelling of 101112221100101 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty-one million, one hundred thousand, one hundred one".