110101111010010 has 96 divisors (see below), whose sum is σ = 287269378241040. Its totient is φ = 29257208908800.

The previous prime is 110101111009961. The next prime is 110101111010027. The reversal of 110101111010010 is 10010111101011.

It can be written as a sum of positive squares in 8 ways, for example, as 46255274061129 + 63845836948881 = 6801123^2 + 7990359^2 .

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 = 110101111009974 and 110101111010001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35663590 + ... + 38627630.

Almost surely, 2^{110101111010010} is an apocalyptic number.

110101111010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110101111010010 is an abundant number, since it is smaller than the sum of its proper divisors (177168267231030).

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

110101111010010 is a wasteful number, since it uses less digits than its factorization.

110101111010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965504 (or 2965501 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 110101111010010 its reverse (10010111101011), we get a palindrome (120111222111021).

The spelling of 110101111010010 in words is "one hundred ten trillion, one hundred one billion, one hundred eleven million, ten thousand, ten".