100122210120012 has 24 divisors (see below), whose sum is σ = 236026928326896. Its totient is φ = 33030007461888.

The previous prime is 100122210120011. The next prime is 100122210120139. The reversal of 100122210120012 is 210021012221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122210119973 and 100122210120000.

It is not an unprimeable number, because it can be changed into a prime (100122210120011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43007821053 + ... + 43007823380.

It is an arithmetic number, because the mean of its divisors is an integer number (9834455346954).

Almost surely, 2^{100122210120012} is an apocalyptic number.

100122210120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122210120012 is an abundant number, since it is smaller than the sum of its proper divisors (135904718206884).

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

100122210120012 is a wasteful number, since it uses less digits than its factorization.

100122210120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86015644537 (or 86015644535 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100122210120012 its reverse (210021012221001), we get a palindrome (310143222341013).

The spelling of 100122210120012 in words is "one hundred trillion, one hundred twenty-two billion, two hundred ten million, one hundred twenty thousand, twelve".