100211122212021 has 12 divisors (see below), whose sum is σ = 148661544663372. Its totient is φ = 65001809002176.

The previous prime is 100211122212007. The next prime is 100211122212031. The reversal of 100211122212021 is 120212221112001.

100211122212021 is a `hidden beast` number, since 100 + 211 + 122 + 212 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55677041507025 + 44534080704996 = 7461705^2 + 6673386^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100211122212021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100211122211985 and 100211122212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211122212031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150467150136 + ... + 150467150801.

It is an arithmetic number, because the mean of its divisors is an integer number (12388462055281).

Almost surely, 2^{100211122212021} is an apocalyptic number.

It is an amenable number.

100211122212021 is a deficient number, since it is larger than the sum of its proper divisors (48450422451351).

100211122212021 is a wasteful number, since it uses less digits than its factorization.

100211122212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300934300980 (or 300934300977 counting only the distinct ones).

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

Adding to 100211122212021 its reverse (120212221112001), we get a palindrome (220423343324022).

The spelling of 100211122212021 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twelve thousand, twenty-one".