122101110000 has 450 divisors, whose sum is σ = 439300653792. Its totient is φ = 31648320000.

The previous prime is 122101109989. The next prime is 122101110041. The reversal of 122101110000 is 11101221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 123209505 + ... + 123210495.

Almost surely, 2^122101110000 is an apocalyptic number.

122101110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122101110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219650326896).

122101110000 is an abundant number, since it is smaller than the sum of its proper divisors (317199543792).

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

122101110000 is an equidigital number, since it uses as much as digits as its factorization.

122101110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 122101110000 its reverse (11101221), we get a palindrome (122112211221).

The spelling of 122101110000 in words is "one hundred twenty-two billion, one hundred one million, one hundred ten thousand".