10110001102112 has 24 divisors (see below), whose sum is σ = 19905293049516. Its totient is φ = 5054688581632.

The previous prime is 10110001102081. The next prime is 10110001102127. The reversal of 10110001102112 is 21120110001101.

It can be written as a sum of positive squares in 2 ways, for example, as 7553724547216 + 2556276554896 = 2748404^2 + 1598836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10110001102093 and 10110001102102.

It is an unprimeable number.

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, 9221993 + ... + 10259880.

Almost surely, 2^{10110001102112} is an apocalyptic number.

It is an amenable number.

10110001102112 is a deficient number, since it is larger than the sum of its proper divisors (9795291947404).

10110001102112 is a wasteful number, since it uses less digits than its factorization.

10110001102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19498100 (or 19498092 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10110001102112 its reverse (21120110001101), we get a palindrome (31230111103213).

It can be divided in two parts, 1011000 and 1102112, that added together give a palindrome (2113112).

The spelling of 10110001102112 in words is "ten trillion, one hundred ten billion, one million, one hundred two thousand, one hundred twelve".