122123103000100 has 36 divisors (see below), whose sum is σ = 265117049891568. Its totient is φ = 48828980116000.

The previous prime is 122123103000061. The next prime is 122123103000113. The reversal of 122123103000100 is 1000301321221.

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 11 ways as a sum of consecutive naturals, for example, 253021246 + ... + 253503445.

It is an arithmetic number, because the mean of its divisors is an integer number (7364362496988).

Almost surely, 2^{122123103000100} is an apocalyptic number.

122123103000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122123103000100 is an abundant number, since it is smaller than the sum of its proper divisors (142993946891468).

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

122123103000100 is a wasteful number, since it uses less digits than its factorization.

122123103000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506527116 (or 506527109 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122123103000100 its reverse (1000301321221), we get a palindrome (123123404321321).

The spelling of 122123103000100 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, one hundred three million, one hundred", and thus it is an aban number.