102223021200219 has 24 divisors (see below), whose sum is σ = 150826145071680. Its totient is φ = 66685853570688.

The previous prime is 102223021200217. The next prime is 102223021200259. The reversal of 102223021200219 is 912002120322201.

102223021200219 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 230 + 212 + 0 + 0 + 219 = 666.

It is not a de Polignac number, because 102223021200219 - 2¹ = 102223021200217 is a prime.

It is a super-2 number, since 2×102223021200219² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102223021200192 and 102223021200201.

It is not an unprimeable number, because it can be changed into a prime (102223021200217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21091042 + ... + 25480935.

It is an arithmetic number, because the mean of its divisors is an integer number (6284422711320).

Almost surely, 2^{102223021200219} is an apocalyptic number.

102223021200219 is a deficient number, since it is larger than the sum of its proper divisors (48603123871461).

102223021200219 is a wasteful number, since it uses less digits than its factorization.

102223021200219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46577219 (or 46577216 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 102223021200219 in words is "one hundred two trillion, two hundred twenty-three billion, twenty-one million, two hundred thousand, two hundred nineteen".