10100011111112 has 16 divisors (see below), whose sum is σ = 20394253205340. Its totient is φ = 4661543589696.

The previous prime is 10100011111109. The next prime is 10100011111117. The reversal of 10100011111112 is 21111111000101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9976842400996 + 123168710116 = 3158614^2 + 350954^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100011111093 and 10100011111102.

It is not an unprimeable number, because it can be changed into a prime (10100011111117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48557745623 + ... + 48557745830.

Almost surely, 2^{10100011111112} is an apocalyptic number.

It is an amenable number.

10100011111112 is an abundant number, since it is smaller than the sum of its proper divisors (10294242094228).

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

10100011111112 is a wasteful number, since it uses less digits than its factorization.

10100011111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97115491472 (or 97115491468 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10100011111112 its reverse (21111111000101), we get a palindrome (31211122111213).

The spelling of 10100011111112 in words is "ten trillion, one hundred billion, eleven million, one hundred eleven thousand, one hundred twelve".