10101112112 has 80 divisors (see below), whose sum is σ = 24647589120. Its totient is φ = 3903088896.

The previous prime is 10101112103. The next prime is 10101112121. The reversal of 10101112112 is 21121110101.

It is an interprime number because it is at equal distance from previous prime (10101112103) and next prime (10101112121).

It is a junction number, because it is equal to n+sod(n) for n = 10101112093 and 10101112102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18062 + ... + 143277.

It is an arithmetic number, because the mean of its divisors is an integer number (308094864).

Almost surely, 2^10101112112 is an apocalyptic number.

It is an amenable number.

10101112112 is an abundant number, since it is smaller than the sum of its proper divisors (14546477008).

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

10101112112 is a wasteful number, since it uses less digits than its factorization.

10101112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161410 (or 161404 counting only the distinct ones).

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

Adding to 10101112112 its reverse (21121110101), we get a palindrome (31222222213).

The spelling of 10101112112 in words is "ten billion, one hundred one million, one hundred twelve thousand, one hundred twelve".