10121100112 has 20 divisors (see below), whose sum is σ = 19803789396. Its totient is φ = 5010444800.

The previous prime is 10121100107. The next prime is 10121100149. The reversal of 10121100112 is 21100112101.

10121100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4959539776 + 5161560336 = 70424^2 + 71844^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3129913 + ... + 3133144.

Almost surely, 2^10121100112 is an apocalyptic number.

It is an amenable number.

10121100112 is a deficient number, since it is larger than the sum of its proper divisors (9682689284).

10121100112 is a wasteful number, since it uses less digits than its factorization.

10121100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6263166 (or 6263160 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10121100112 its reverse (21100112101), we get a palindrome (31221212213).

It can be divided in two parts, 101 and 21100112, that multiplied together give a palindrome (2131111312).

The spelling of 10121100112 in words is "ten billion, one hundred twenty-one million, one hundred thousand, one hundred twelve".