10010112100110 has 192 divisors, whose sum is σ = 26404073280000. Its totient is φ = 2630894701824.

The previous prime is 10010112100099. The next prime is 10010112100117. The reversal of 10010112100110 is 1100121101001.

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 = 10010112100092 and 10010112100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010112100117) 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 95 ways as a sum of consecutive naturals, for example, 1799406189 + ... + 1799411751.

It is an arithmetic number, because the mean of its divisors is an integer number (137521215000).

Almost surely, 2^{10010112100110} is an apocalyptic number.

10010112100110 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 10010112100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202036640000).

10010112100110 is an abundant number, since it is smaller than the sum of its proper divisors (16393961179890).

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

10010112100110 is a wasteful number, since it uses less digits than its factorization.

10010112100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6567 (or 6564 counting only the distinct ones).

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

Adding to 10010112100110 its reverse (1100121101001), we get a palindrome (11110233201111).

It can be divided in two parts, 1001011 and 2100110, that added together give a square (3101121 = 1761²).

The spelling of 10010112100110 in words is "ten trillion, ten billion, one hundred twelve million, one hundred thousand, one hundred ten".