101122200112211 has 8 divisors (see below), whose sum is σ = 109560577960944. Its totient is φ = 92960490389760.

The previous prime is 101122200112207. The next prime is 101122200112253. The reversal of 101122200112211 is 112211002221101.

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 101122200112211 - 2² = 101122200112207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 101122200112211.

It is not an unprimeable number, because it can be changed into a prime (101122200112411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69167030810 + ... + 69167032271.

It is an arithmetic number, because the mean of its divisors is an integer number (13695072245118).

Almost surely, 2^{101122200112211} is an apocalyptic number.

101122200112211 is a deficient number, since it is larger than the sum of its proper divisors (8438377848733).

101122200112211 is a wasteful number, since it uses less digits than its factorization.

101122200112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138334063141.

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

Adding to 101122200112211 its reverse (112211002221101), we get a palindrome (213333202333312).

The spelling of 101122200112211 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred million, one hundred twelve thousand, two hundred eleven".