10102011100110 has 192 divisors, whose sum is σ = 27966924910080. Its totient is φ = 2525429560320.

The previous prime is 10102011100099. The next prime is 10102011100123. The reversal of 10102011100110 is 1100111020101.

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 = 10102011100092 and 10102011100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23426004 + ... + 23853336.

It is an arithmetic number, because the mean of its divisors is an integer number (145661067240).

Almost surely, 2^{10102011100110} is an apocalyptic number.

10102011100110 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 10102011100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13983462455040).

10102011100110 is an abundant number, since it is smaller than the sum of its proper divisors (17864913809970).

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

10102011100110 is a wasteful number, since it uses less digits than its factorization.

10102011100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427643 (or 427640 counting only the distinct ones).

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

Adding to 10102011100110 its reverse (1100111020101), we get a palindrome (11202122120211).

The spelling of 10102011100110 in words is "ten trillion, one hundred two billion, eleven million, one hundred thousand, one hundred ten".