110102001001100 has 72 divisors (see below), whose sum is σ = 239098052453568. Its totient is φ = 44008235712000.

The previous prime is 110102001001099. The next prime is 110102001001103. The reversal of 110102001001100 is 1100100201011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (110102001001103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1102061150 + ... + 1102161050.

Almost surely, 2^{110102001001100} is an apocalyptic number.

110102001001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110102001001100 is an abundant number, since it is smaller than the sum of its proper divisors (128996051452468).

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

110102001001100 is a wasteful number, since it uses less digits than its factorization.

110102001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107955 (or 107948 counting only the distinct ones).

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

Adding to 110102001001100 its reverse (1100100201011), we get a palindrome (111202101202111).

The spelling of 110102001001100 in words is "one hundred ten trillion, one hundred two billion, one million, one thousand, one hundred".