21122210100312 has 24 divisors (see below), whose sum is σ = 57205985688540. Its totient is φ = 7040736700080.

The previous prime is 21122210100281. The next prime is 21122210100317. The reversal of 21122210100312 is 21300101222112.

21122210100312 is a `hidden beast` number, since 21 + 1 + 22 + 210 + 100 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×21122210100312² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122210100317) 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 5 ways as a sum of consecutive naturals, for example, 146682014514 + ... + 146682014657.

Almost surely, 2^{21122210100312} is an apocalyptic number.

It is an amenable number.

21122210100312 is an abundant number, since it is smaller than the sum of its proper divisors (36083775588228).

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

21122210100312 is a wasteful number, since it uses less digits than its factorization.

21122210100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293364029183 (or 293364029176 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21122210100312 its reverse (21300101222112), we get a palindrome (42422311322424).

The spelling of 21122210100312 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred ten million, one hundred thousand, three hundred twelve".