101112102002 has 16 divisors (see below), whose sum is σ = 160601353560. Its totient is φ = 47578745088.

The previous prime is 101112101971. The next prime is 101112102059. The reversal of 101112102002 is 200201211101.

It can be written as a sum of positive squares in 4 ways, for example, as 96988022041 + 4124079961 = 311429^2 + 64219^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 409124 + ... + 607952.

Almost surely, 2^101112102002 is an apocalyptic number.

101112102002 is a deficient number, since it is larger than the sum of its proper divisors (59489251558).

101112102002 is a wasteful number, since it uses less digits than its factorization.

101112102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213805.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101112102002 its reverse (200201211101), we get a palindrome (301313313103).

The spelling of 101112102002 in words is "one hundred one billion, one hundred twelve million, one hundred two thousand, two".