100122122221110 has 128 divisors (see below), whose sum is σ = 294773565381120. Its totient is φ = 23979595478400.

The previous prime is 100122122221087. The next prime is 100122122221189. The reversal of 100122122221110 is 11122221221001.

100122122221110 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 221 + 222 + 211 + 10 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 202832721 + ... + 203325740.

It is an arithmetic number, because the mean of its divisors is an integer number (2302918479540).

Almost surely, 2^{100122122221110} is an apocalyptic number.

100122122221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100122122221110 is an abundant number, since it is smaller than the sum of its proper divisors (194651443160010).

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

100122122221110 is a wasteful number, since it uses less digits than its factorization.

100122122221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406158571 (or 406158565 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100122122221110 its reverse (11122221221001), we get a palindrome (111244343442111).

The spelling of 100122122221110 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred ten".