122102500 has 135 divisors (see below), whose sum is σ = 307141527. Its totient is φ = 42432000.

The previous prime is 122102473. The next prime is 122102503. The reversal of 122102500 is 5201221.

The square root of 122102500 is 11050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 105390756 + 16711744 = 10266^2 + 4088^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122102503) 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 44 ways as a sum of consecutive naturals, for example, 7182492 + ... + 7182508.

Almost surely, 2^122102500 is an apocalyptic number.

122102500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122102500 is the 11050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102500

122102500 is an abundant number, since it is smaller than the sum of its proper divisors (185039027).

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

122102500 is a wasteful number, since it uses less digits than its factorization.

122102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The cubic root of 122102500 is about 496.1064255240.

Adding to 122102500 its reverse (5201221), we get a palindrome (127303721).

The spelling of 122102500 in words is "one hundred twenty-two million, one hundred two thousand, five hundred".