1000102210112 has 28 divisors (see below), whose sum is σ = 2032982165676. Its totient is φ = 487854735360.

The previous prime is 1000102210099. The next prime is 1000102210117. The reversal of 1000102210112 is 2110122010001.

It can be written as a sum of positive squares in 2 ways, for example, as 53575583296 + 946526626816 = 231464^2 + 972896^2 .

It is a super-3 number, since 3×1000102210112³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000102210093 and 1000102210102.

It is not an unprimeable number, because it can be changed into a prime (1000102210117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 190565633 + ... + 190570880.

It is an arithmetic number, because the mean of its divisors is an integer number (72606505917).

Almost surely, 2^{1000102210112} is an apocalyptic number.

It is an amenable number.

1000102210112 is an abundant number, since it is smaller than the sum of its proper divisors (1032879955564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000102210112 is an equidigital number, since it uses as much as digits as its factorization.

1000102210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381136566 (or 381136556 counting only the distinct ones).

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

Adding to 1000102210112 its reverse (2110122010001), we get a palindrome (3110224220113).

The spelling of 1000102210112 in words is "one trillion, one hundred two million, two hundred ten thousand, one hundred twelve".