110100120101000 has 64 divisors (see below), whose sum is σ = 272789238786480. Its totient is φ = 41449456972800.

The previous prime is 110100120100961. The next prime is 110100120101011. The reversal of 110100120101000 is 101021001011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26339661599524 + 83760458501476 = 5132218^2 + 9152074^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3238221827 + ... + 3238255826.

Almost surely, 2^{110100120101000} is an apocalyptic number.

110100120101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100120101000 is an abundant number, since it is smaller than the sum of its proper divisors (162689118685480).

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

110100120101000 is a wasteful number, since it uses less digits than its factorization.

110100120101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6476477691 (or 6476477677 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110100120101000 its reverse (101021001011), we get a palindrome (110201141102011).

The spelling of 110100120101000 in words is "one hundred ten trillion, one hundred billion, one hundred twenty million, one hundred one thousand".