122120122100 has 18 divisors (see below), whose sum is σ = 265000665174. Its totient is φ = 48848048800.

The previous prime is 122120122079. The next prime is 122120122127. The reversal of 122120122100 is 1221021221.

It can be written as a sum of positive squares in 3 ways, for example, as 6230260624 + 115889861476 = 78932^2 + 340426^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610600511 + ... + 610600710.

Almost surely, 2^122120122100 is an apocalyptic number.

122120122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120122100 is an abundant number, since it is smaller than the sum of its proper divisors (142880543074).

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

122120122100 is a wasteful number, since it uses less digits than its factorization.

122120122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221201235 (or 1221201228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122120122100 its reverse (1221021221), we get a palindrome (123341143321).

The spelling of 122120122100 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".