10110101112 has 192 divisors, whose sum is σ = 29045540160. Its totient is φ = 3172608000.

The previous prime is 10110101033. The next prime is 10110101123. The reversal of 10110101112 is 21110101101.

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 = 10110101094 and 10110101103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16492518 + ... + 16493130.

It is an arithmetic number, because the mean of its divisors is an integer number (151278855).

Almost surely, 2^10110101112 is an apocalyptic number.

10110101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522770080).

10110101112 is an abundant number, since it is smaller than the sum of its proper divisors (18935439048).

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

10110101112 is a wasteful number, since it uses less digits than its factorization.

10110101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 847 counting only the distinct ones).

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

Adding to 10110101112 its reverse (21110101101), we get a palindrome (31220202213).

The spelling of 10110101112 in words is "ten billion, one hundred ten million, one hundred one thousand, one hundred twelve".