122021120121100 has 144 divisors (see below), whose sum is σ = 295131605680800. Its totient is φ = 43517502443520.

The previous prime is 122021120120941. The next prime is 122021120121113. The reversal of 122021120121100 is 1121021120221.

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, 767788446 + ... + 767947354.

It is an arithmetic number, because the mean of its divisors is an integer number (2049525039450).

Almost surely, 2^{122021120121100} is an apocalyptic number.

122021120121100 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 122021120121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147565802840400).

122021120121100 is an abundant number, since it is smaller than the sum of its proper divisors (173110485559700).

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

122021120121100 is a wasteful number, since it uses less digits than its factorization.

122021120121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182732 (or 182725 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122021120121100 its reverse (1121021120221), we get a palindrome (123142141241321).

It can be divided in two parts, 122021120121 and 100, that added together give a palindrome (122021120221).

The spelling of 122021120121100 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred".