10211122221219 has 160 divisors (see below), whose sum is σ = 16759038827520. Its totient is φ = 6170162439168.

The previous prime is 10211122221187. The next prime is 10211122221221. The reversal of 10211122221219 is 91212222111201.

10211122221219 is a `hidden beast` number, since 1 + 0 + 211 + 1 + 222 + 212 + 19 = 666.

It is not a de Polignac number, because 10211122221219 - 2⁵ = 10211122221187 is a prime.

It is a super-2 number, since 2×10211122221219² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10211122221192 and 10211122221201.

It is not an unprimeable number, because it can be changed into a prime (10211122221259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5440128109 + ... + 5440129985.

It is an arithmetic number, because the mean of its divisors is an integer number (104743992672).

Almost surely, 2^{10211122221219} is an apocalyptic number.

10211122221219 is a deficient number, since it is larger than the sum of its proper divisors (6547916606301).

10211122221219 is a wasteful number, since it uses less digits than its factorization.

10211122221219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

It can be divided in two parts, 1021112 and 2221219, that added together give a triangular number (3242331 = T₂₅₄₆).

The spelling of 10211122221219 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred nineteen".