122121121100 has 144 divisors (see below), whose sum is σ = 295079863680. Its totient is φ = 43495795200.

The previous prime is 122121121099. The next prime is 122121121121. The reversal of 122121121100 is 1121121221.

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, 13187672 + ... + 13196928.

It is an arithmetic number, because the mean of its divisors is an integer number (2049165720).

Almost surely, 2^122121121100 is an apocalyptic number.

122121121100 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 122121121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147539931840).

122121121100 is an abundant number, since it is smaller than the sum of its proper divisors (172958742580).

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

122121121100 is a wasteful number, since it uses less digits than its factorization.

122121121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9528 (or 9521 counting only the distinct ones).

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

Adding to 122121121100 its reverse (1121121221), we get a palindrome (123242242321).

It can be divided in two parts, 122121121 and 100, that added together give a palindrome (122121221).

The spelling of 122121121100 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred".