122101221121120 has 96 divisors (see below), whose sum is σ = 288583217596800. Its totient is φ = 48820330567680.

The previous prime is 122101221121073. The next prime is 122101221121123. The reversal of 122101221121120 is 21121122101221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101221121123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6539609385 + ... + 6539628055.

It is an arithmetic number, because the mean of its divisors is an integer number (3006075183300).

Almost surely, 2^{122101221121120} is an apocalyptic number.

122101221121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101221121120 is an abundant number, since it is smaller than the sum of its proper divisors (166481996475680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122101221121120 is a wasteful number, since it uses less digits than its factorization.

122101221121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33368 (or 33360 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122101221121120 its reverse (21121122101221), we get a palindrome (143222343222341).

The spelling of 122101221121120 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".