102112200002 has 8 divisors (see below), whose sum is σ = 153169660812. Its totient is φ = 51055646400.

The previous prime is 102112199971. The next prime is 102112200007. The reversal of 102112200002 is 200002211201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 94390887361 + 7721312641 = 307231^2 + 87871^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-4 number, since 4×102112200002⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (102112200007) 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 3 ways as a sum of consecutive naturals, for example, 291302 + ... + 537662.

Almost surely, 2^102112200002 is an apocalyptic number.

102112200002 is a deficient number, since it is larger than the sum of its proper divisors (51057460810).

102112200002 is a wasteful number, since it uses less digits than its factorization.

102112200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453604.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102112200002 its reverse (200002211201), we get a palindrome (302114411203).

The spelling of 102112200002 in words is "one hundred two billion, one hundred twelve million, two hundred thousand, two".