101122221101 has 8 divisors (see below), whose sum is σ = 110357724864. Its totient is φ = 91893813120.

The previous prime is 101122221007. The next prime is 101122221119.

101122221101 is nontrivially palindromic in base 10.

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 101122221101 - 2¹⁰ = 101122220077 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 (101122221701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1744121 + ... + 1801166.

It is an arithmetic number, because the mean of its divisors is an integer number (13794715608).

Almost surely, 2^101122221101 is an apocalyptic number.

101122221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122221101 is a deficient number, since it is larger than the sum of its proper divisors (9235503763).

101122221101 is a wasteful number, since it uses less digits than its factorization.

101122221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547891.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 101122 and 221101, that added together give a palindrome (322223).

The spelling of 101122221101 in words is "one hundred one billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred one".