122122100 has 18 divisors (see below), whose sum is σ = 265005174. Its totient is φ = 48848800.

The previous prime is 122122097. The next prime is 122122129. The reversal of 122122100 is 1221221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 42484324 + 79637776 = 6518^2 + 8924^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610511 + ... + 610710.

Almost surely, 2^122122100 is an apocalyptic number.

122122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122100 is an abundant number, since it is smaller than the sum of its proper divisors (142883074).

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

122122100 is a wasteful number, since it uses less digits than its factorization.

122122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221235 (or 1221228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 122122100 is about 11050.8868422403. The cubic root of 122122100 is about 496.1329692494.

Adding to 122122100 its reverse (1221221), we get a palindrome (123343321).

Multiplying 122122100 by its reverse (1221221), we get a square (149138073084100 = 12212210²).

122122100 divided by its reverse (1221221) gives a square (100 = 10²).

The spelling of 122122100 in words is "one hundred twenty-two million, one hundred twenty-two thousand, one hundred".