122121022100 has 144 divisors (see below), whose sum is σ = 330734831616. Its totient is φ = 38024304000.

The previous prime is 122121022097. The next prime is 122121022159. The reversal of 122121022100 is 1220121221.

122121022100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7931009 + ... + 7946391.

It is an arithmetic number, because the mean of its divisors is an integer number (2296769664).

Almost surely, 2^122121022100 is an apocalyptic number.

122121022100 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 122121022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165367415808).

122121022100 is an abundant number, since it is smaller than the sum of its proper divisors (208613809516).

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

122121022100 is a wasteful number, since it uses less digits than its factorization.

122121022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16446 (or 16439 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122121022100 its reverse (1220121221), we get a palindrome (123341143321).

The spelling of 122121022100 in words is "one hundred twenty-two billion, one hundred twenty-one million, twenty-two thousand, one hundred".