10101011112 has 48 divisors (see below), whose sum is σ = 28300252500. Its totient is φ = 3250899456.

The previous prime is 10101011093. The next prime is 10101011119. The reversal of 10101011112 is 21111010101.

It can be written as a sum of positive squares in 2 ways, for example, as 10074939876 + 26071236 = 100374^2 + 5106^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101011094 and 10101011103.

It is not an unprimeable number, because it can be changed into a prime (10101011119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2416737 + ... + 2420912.

Almost surely, 2^10101011112 is an apocalyptic number.

10101011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101011112 is an abundant number, since it is smaller than the sum of its proper divisors (18199241388).

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

10101011112 is a wasteful number, since it uses less digits than its factorization.

10101011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837690 (or 4837683 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101011112 its reverse (21111010101), we get a palindrome (31212021213).

The spelling of 10101011112 in words is "ten billion, one hundred one million, eleven thousand, one hundred twelve".