122110212000100 has 36 divisors (see below), whose sum is σ = 269323080710068. Its totient is φ = 48043362096000.

The previous prime is 122110212000041. The next prime is 122110212000169. The reversal of 122110212000100 is 1000212011221.

It can be written as a sum of positive squares in 6 ways, for example, as 7651154309184 + 114459057690916 = 2766072^2 + 10698554^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10009027671 + ... + 10009039870.

Almost surely, 2^{122110212000100} is an apocalyptic number.

122110212000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110212000100 is an abundant number, since it is smaller than the sum of its proper divisors (147212868709968).

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

122110212000100 is a wasteful number, since it uses less digits than its factorization.

122110212000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20018067616 (or 20018067609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122110212000100 its reverse (1000212011221), we get a palindrome (123110424011321).

The spelling of 122110212000100 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred twelve million, one hundred", and thus it is an aban number.