102112201221219 has 48 divisors (see below), whose sum is σ = 172934038298112. Its totient is φ = 56857136609664.

The previous prime is 102112201221133. The next prime is 102112201221257. The reversal of 102112201221219 is 912122102211201.

102112201221219 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 220 + 1 + 221 + 219 = 666.

It is not a de Polignac number, because 102112201221219 - 2⁷ = 102112201221091 is a prime.

It is a super-2 number, since 2×102112201221219² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102112201221192 and 102112201221201.

It is not an unprimeable number, because it can be changed into a prime (102112201221619) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133372087 + ... + 134135520.

It is an arithmetic number, because the mean of its divisors is an integer number (3602792464544).

Almost surely, 2^{102112201221219} is an apocalyptic number.

102112201221219 is a deficient number, since it is larger than the sum of its proper divisors (70821837076893).

102112201221219 is a wasteful number, since it uses less digits than its factorization.

102112201221219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267507776 (or 267507773 counting only the distinct ones).

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

The spelling of 102112201221219 in words is "one hundred two trillion, one hundred twelve billion, two hundred one million, two hundred twenty-one thousand, two hundred nineteen".