101112022011221 has 4 divisors (see below), whose sum is σ = 108889869858252. Its totient is φ = 93334174164192.

The previous prime is 101112022011181. The next prime is 101112022011263. The reversal of 101112022011221 is 122110220211101.

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 23458668862225 + 77653353148996 = 4843415^2 + 8812114^2 .

It is not a de Polignac number, because 101112022011221 - 2⁴² = 96713975500117 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101112022011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112022011521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3888923923496 + ... + 3888923923521.

It is an arithmetic number, because the mean of its divisors is an integer number (27222467464563).

Almost surely, 2^{101112022011221} is an apocalyptic number.

It is an amenable number.

101112022011221 is a deficient number, since it is larger than the sum of its proper divisors (7777847847031).

101112022011221 is an equidigital number, since it uses as much as digits as its factorization.

101112022011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777847847030.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101112022011221 its reverse (122110220211101), we get a palindrome (223222242222322).

The spelling of 101112022011221 in words is "one hundred one trillion, one hundred twelve billion, twenty-two million, eleven thousand, two hundred twenty-one".