122121100 has 36 divisors (see below), whose sum is σ = 265483008. Its totient is φ = 48760000.

The previous prime is 122121089. The next prime is 122121107. The reversal of 122121100 is 1121221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (122121107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105525 + ... + 106675.

It is an arithmetic number, because the mean of its divisors is an integer number (7374528).

Almost surely, 2^122121100 is an apocalyptic number.

122121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121100 is an abundant number, since it is smaller than the sum of its proper divisors (143361908).

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

122121100 is a wasteful number, since it uses less digits than its factorization.

122121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2219 counting only the distinct ones).

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

The square root of 122121100 is about 11050.8415969102. The cubic root of 122121100 is about 496.1316150465.

Adding to 122121100 its reverse (1121221), we get a palindrome (123242321).

It can be divided in two parts, 122121 and 100, that added together give a palindrome (122221).

The spelling of 122121100 in words is "one hundred twenty-two million, one hundred twenty-one thousand, one hundred".