110101112010 has 192 divisors, whose sum is σ = 307696776192. Its totient is φ = 27243330048.

The previous prime is 110101111999. The next prime is 110101112027. The reversal of 110101112010 is 10211101011.

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 = 110101111983 and 110101112001.

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, 28106572 + ... + 28110488.

It is an arithmetic number, because the mean of its divisors is an integer number (1602587376).

Almost surely, 2^110101112010 is an apocalyptic number.

110101112010 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 110101112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153848388096).

110101112010 is an abundant number, since it is smaller than the sum of its proper divisors (197595664182).

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

110101112010 is a wasteful number, since it uses less digits than its factorization.

110101112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357 (or 4354 counting only the distinct ones).

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

Adding to 110101112010 its reverse (10211101011), we get a palindrome (120312213021).

It can be divided in two parts, 110101 and 112010, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 110101112010 in words is "one hundred ten billion, one hundred one million, one hundred twelve thousand, ten".