100211212211121 has 24 divisors (see below), whose sum is σ = 157919544176160. Its totient is φ = 60729849792000.

The previous prime is 100211212211093. The next prime is 100211212211141. The reversal of 100211212211121 is 121112212112001.

It is a happy number.

100211212211121 is a `hidden beast` number, since 10 + 0 + 211 + 212 + 211 + 1 + 21 = 666.

It is not a de Polignac number, because 100211212211121 - 2¹⁰ = 100211212210097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100211212211094 and 100211212211103.

It is not an unprimeable number, because it can be changed into a prime (100211212211141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33718891 + ... + 36570288.

It is an arithmetic number, because the mean of its divisors is an integer number (6579981007340).

Almost surely, 2^{100211212211121} is an apocalyptic number.

100211212211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211212211121 is a deficient number, since it is larger than the sum of its proper divisors (57708331965039).

100211212211121 is a wasteful number, since it uses less digits than its factorization.

100211212211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70303597 (or 70303594 counting only the distinct ones).

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

Adding to 100211212211121 its reverse (121112212112001), we get a palindrome (221323424323122).

The spelling of 100211212211121 in words is "one hundred trillion, two hundred eleven billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-one".