100122122220012 has 72 divisors (see below), whose sum is σ = 254055756034080. Its totient is φ = 33246230515200.

The previous prime is 100122122219963. The next prime is 100122122220061. The reversal of 100122122220012 is 210022221221001.

It is a happy number.

100122122220012 is a `hidden beast` number, since 10 + 0 + 1 + 221 + 222 + 200 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (100122122219963) and next prime (100122122220061).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 404245012 + ... + 404492612.

It is an arithmetic number, because the mean of its divisors is an integer number (3528552167140).

Almost surely, 2^{100122122220012} is an apocalyptic number.

100122122220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122122220012 is an abundant number, since it is smaller than the sum of its proper divisors (153933633814068).

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

100122122220012 is a wasteful number, since it uses less digits than its factorization.

100122122220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290583 (or 290578 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100122122220012 its reverse (210022221221001), we get a palindrome (310144343441013).

The spelling of 100122122220012 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, twelve".