122913348100 has 27 divisors (see below), whose sum is σ = 266729573397. Its totient is φ = 49163936880.

The previous prime is 122913348083. The next prime is 122913348119. The reversal of 122913348100 is 1843319221.

It is a happy number.

The square root of 122913348100 is 350590.

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

It can be written as a sum of positive squares in only one way, i.e., 44248805316 + 78664542784 = 210354^2 + 280472^2 .

It is a super-2 number, since 2×122913348100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 3488371 + ... + 3523429.

Almost surely, 2^122913348100 is an apocalyptic number.

122913348100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122913348100 is the 350590-th square number.

It is an amenable number.

122913348100 is an abundant number, since it is smaller than the sum of its proper divisors (143816225297).

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

122913348100 is an frugal number, since it uses more digits than its factorization.

122913348100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70132 (or 35066 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 122913348100 in words is "one hundred twenty-two billion, nine hundred thirteen million, three hundred forty-eight thousand, one hundred".