100110011001102 has 48 divisors (see below), whose sum is σ = 229724469741312. Its totient is φ = 32660003581560.

The previous prime is 100110011001101. The next prime is 100110011001107. The reversal of 100110011001102 is 201100110011001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110011001101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2191335424 + ... + 2191381107.

It is an arithmetic number, because the mean of its divisors is an integer number (4785926452944).

Almost surely, 2^{100110011001102} is an apocalyptic number.

100110011001102 is an abundant number, since it is smaller than the sum of its proper divisors (129614458740210).

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

100110011001102 is an equidigital number, since it uses as much as digits as its factorization.

100110011001102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382716595 (or 4382716583 counting only the distinct ones).

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

Adding to 100110011001102 its reverse (201100110011001), we get a palindrome (301210121012103).

The spelling of 100110011001102 in words is "one hundred trillion, one hundred ten billion, eleven million, one thousand, one hundred two".