121122100 has 72 divisors (see below), whose sum is σ = 289044000. Its totient is φ = 43689600.

The previous prime is 121122073. The next prime is 121122107. The reversal of 121122100 is 1221121.

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 (121122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163531 + ... + 164269.

It is an arithmetic number, because the mean of its divisors is an integer number (4014500).

Almost surely, 2^121122100 is an apocalyptic number.

121122100 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 121122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144522000).

121122100 is an abundant number, since it is smaller than the sum of its proper divisors (167921900).

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

121122100 is a wasteful number, since it uses less digits than its factorization.

121122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 906 counting only the distinct ones).

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

The square root of 121122100 is about 11005.5486005923. The cubic root of 121122100 is about 494.7750567918.

Adding to 121122100 its reverse (1221121), we get a palindrome (122343221).

It can be divided in two parts, 121 and 122100, that added together give a palindrome (122221).

The spelling of 121122100 in words is "one hundred twenty-one million, one hundred twenty-two thousand, one hundred".