100121122011222 has 96 divisors (see below), whose sum is σ = 247362393620160. Its totient is φ = 28993844828160.

The previous prime is 100121122011203. The next prime is 100121122011247. The reversal of 100121122011222 is 222110221121001.

100121122011222 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 211 + 220 + 11 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100121122011195 and 100121122011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268372354 + ... + 268745162.

It is an arithmetic number, because the mean of its divisors is an integer number (2576691600210).

Almost surely, 2^{100121122011222} is an apocalyptic number.

100121122011222 is an abundant number, since it is smaller than the sum of its proper divisors (147241271608938).

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

100121122011222 is a wasteful number, since it uses less digits than its factorization.

100121122011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440358 (or 440355 counting only the distinct ones).

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

Adding to 100121122011222 its reverse (222110221121001), we get a palindrome (322231343132223).

The spelling of 100121122011222 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-two million, eleven thousand, two hundred twenty-two".