10103100112 has 80 divisors (see below), whose sum is σ = 22784156800. Its totient is φ = 4250257920.

The previous prime is 10103100103. The next prime is 10103100121. The reversal of 10103100112 is 21100130101.

It is an interprime number because it is at equal distance from previous prime (10103100103) and next prime (10103100121).

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 15 ways as a sum of consecutive naturals, for example, 4227814 + ... + 4230202.

It is an arithmetic number, because the mean of its divisors is an integer number (284801960).

Almost surely, 2^10103100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11392078400).

10103100112 is an abundant number, since it is smaller than the sum of its proper divisors (12681056688).

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

10103100112 is a wasteful number, since it uses less digits than its factorization.

10103100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10103100112 its reverse (21100130101), we get a palindrome (31203230213).

It can be divided in two parts, 10103 and 100112, that added together give a triangular number (110215 = T₄₆₉).

The spelling of 10103100112 in words is "ten billion, one hundred three million, one hundred thousand, one hundred twelve".