100121122111212 has 36 divisors (see below), whose sum is σ = 259924054253136. Its totient is φ = 32471715278880.

The previous prime is 100121122111207. The next prime is 100121122111247. The reversal of 100121122111212 is 212111221121001.

It is a happy number.

100121122111212 is a `hidden beast` number, since 10 + 0 + 1 + 211 + 221 + 11 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100121122111212² (a number of 29 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 37583002464 + ... + 37583005127.

Almost surely, 2^{100121122111212} is an apocalyptic number.

100121122111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100121122111212 is an abundant number, since it is smaller than the sum of its proper divisors (159802932141924).

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

100121122111212 is a wasteful number, since it uses less digits than its factorization.

100121122111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75166007638 (or 75166007633 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 100121122111212 its reverse (212111221121001), we get a palindrome (312232343232213).

The spelling of 100121122111212 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twelve".