110101101210000 has 150 divisors (see below), whose sum is σ = 385039454738510. Its totient is φ = 29360293632000.

The previous prime is 110101101209987. The next prime is 110101101210011. The reversal of 110101101210000 is 12101101011.

It can be written as a sum of positive squares in 5 ways, for example, as 15730678980864 + 94370422229136 = 3966192^2 + 9714444^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 611582785 + ... + 611762784.

Almost surely, 2^{110101101210000} is an apocalyptic number.

110101101210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101101210000 is an abundant number, since it is smaller than the sum of its proper divisors (274938353528510).

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

110101101210000 is a wasteful number, since it uses less digits than its factorization.

110101101210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223345603 (or 1223345579 counting only the distinct ones).

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

Adding to 110101101210000 its reverse (12101101011), we get a palindrome (110113202311011).

The spelling of 110101101210000 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, two hundred ten thousand".