10102102112 has 24 divisors (see below), whose sum is σ = 19934685792. Its totient is φ = 5039324800.

The previous prime is 10102102099. The next prime is 10102102123. The reversal of 10102102112 is 21120120101.

It is a super-3 number, since 3×10102102112³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102102093 and 10102102102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 352439 + ... + 380022.

It is an arithmetic number, because the mean of its divisors is an integer number (830611908).

Almost surely, 2^10102102112 is an apocalyptic number.

It is an amenable number.

10102102112 is a deficient number, since it is larger than the sum of its proper divisors (9832583680).

10102102112 is an equidigital number, since it uses as much as digits as its factorization.

10102102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732902 (or 732894 counting only the distinct ones).

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

Adding to 10102102112 its reverse (21120120101), we get a palindrome (31222222213).

The spelling of 10102102112 in words is "ten billion, one hundred two million, one hundred two thousand, one hundred twelve".