122101120000 has 110 divisors (see below), whose sum is σ = 305007716288. Its totient is φ = 48840192000.

The previous prime is 122101119989. The next prime is 122101120007. The reversal of 122101120000 is 21101221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101120007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 544609 + ... + 735391.

Almost surely, 2^122101120000 is an apocalyptic number.

122101120000 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 122101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152503858144).

122101120000 is an abundant number, since it is smaller than the sum of its proper divisors (182906596288).

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

122101120000 is an frugal number, since it uses more digits than its factorization.

122101120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190823 (or 190790 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122101120000 its reverse (21101221), we get a palindrome (122122221221).

The spelling of 122101120000 in words is "one hundred twenty-two billion, one hundred one million, one hundred twenty thousand".