10101111100112 has 20 divisors (see below), whose sum is σ = 20202222201216. Its totient is φ = 4887634403040.

The previous prime is 10101111100043. The next prime is 10101111100123. The reversal of 10101111100112 is 21100111110101.

It is a happy number.

10101111100112 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 10101111100093 and 10101111100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10182571178 + ... + 10182572169.

Almost surely, 2^{10101111100112} is an apocalyptic number.

It is an amenable number.

10101111100112 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10101111100112 is a wasteful number, since it uses less digits than its factorization.

10101111100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20365143386 (or 20365143380 counting only the distinct ones).

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

Adding to 10101111100112 its reverse (21100111110101), we get a palindrome (31201222210213).

The spelling of 10101111100112 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred thousand, one hundred twelve".