110101112221000 has 128 divisors (see below), whose sum is σ = 279445154657760. Its totient is φ = 40438858752000.

The previous prime is 110101112220977. The next prime is 110101112221069. The reversal of 110101112221000 is 122211101011.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 12886994303716 + 97214117917284 = 3589846^2 + 9859722^2 .

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 31 ways as a sum of consecutive naturals, for example, 78285147 + ... + 79679146.

Almost surely, 2^{110101112221000} is an apocalyptic number.

110101112221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101112221000 is an abundant number, since it is smaller than the sum of its proper divisors (169344042436760).

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

110101112221000 is a wasteful number, since it uses less digits than its factorization.

110101112221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157964372 (or 157964358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110101112221000 its reverse (122211101011), we get a palindrome (110223323322011).

The spelling of 110101112221000 in words is "one hundred ten trillion, one hundred one billion, one hundred twelve million, two hundred twenty-one thousand".