122101210121000 has 128 divisors (see below), whose sum is σ = 311823395919360. Its totient is φ = 44381592928000.

The previous prime is 122101210120993. The next prime is 122101210121021. The reversal of 122101210121000 is 121012101221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23572289 + ... + 28281711.

It is an arithmetic number, because the mean of its divisors is an integer number (2436120280620).

Almost surely, 2^{122101210121000} is an apocalyptic number.

122101210121000 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 122101210121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155911697959680).

122101210121000 is an abundant number, since it is smaller than the sum of its proper divisors (189722185798360).

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

122101210121000 is a wasteful number, since it uses less digits than its factorization.

122101210121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711812 (or 4711798 counting only the distinct ones).

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

Adding to 122101210121000 its reverse (121012101221), we get a palindrome (122222222222221).

It can be divided in two parts, 12 and 2101210121000, that added together give a palindrome (2101210121012).

The spelling of 122101210121000 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred ten million, one hundred twenty-one thousand".