101112102810 has 96 divisors (see below), whose sum is σ = 265391734608. Its totient is φ = 26707107840.

The previous prime is 101112102769. The next prime is 101112102811. The reversal of 101112102810 is 18201211101.

It can be written as a sum of positive squares in 8 ways, for example, as 523540161 + 100588562649 = 22881^2 + 317157^2 .

It is a super-2 number, since 2×101112102810² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101112102811) by changing a digit.

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, 24822934 + ... + 24827006.

Almost surely, 2^101112102810 is an apocalyptic number.

101112102810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112102810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132695867304).

101112102810 is an abundant number, since it is smaller than the sum of its proper divisors (164279631798).

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

101112102810 is a wasteful number, since it uses less digits than its factorization.

101112102810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101112102810 its reverse (18201211101), we get a palindrome (119313313911).

The spelling of 101112102810 in words is "one hundred one billion, one hundred twelve million, one hundred two thousand, eight hundred ten".