122101101221 has 8 divisors (see below), whose sum is σ = 133207029984. Its totient is φ = 110996143920.

The previous prime is 122101101197. The next prime is 122101101277.

122101101221 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 a de Polignac number, because none of the positive numbers 2^k-122101101221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122101101196 and 122101101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101101721) 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, 33635 + ... + 495311.

It is an arithmetic number, because the mean of its divisors is an integer number (16650878748).

Almost surely, 2^122101101221 is an apocalyptic number.

122101101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101101221 is a deficient number, since it is larger than the sum of its proper divisors (11105928763).

122101101221 is a wasteful number, since it uses less digits than its factorization.

122101101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485731.

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

It can be divided in two parts, 122101 and 101221, that added together give a palindrome (223322).

The spelling of 122101101221 in words is "one hundred twenty-two billion, one hundred one million, one hundred one thousand, two hundred twenty-one".