110100100110102 has 192 divisors, whose sum is σ = 255032974310400. Its totient is φ = 34228199808000.

The previous prime is 110100100110101. The next prime is 110100100110131. The reversal of 110100100110102 is 201011001001011.

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 (110100100110101) 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 95 ways as a sum of consecutive naturals, for example, 24023584903 + ... + 24023589485.

It is an arithmetic number, because the mean of its divisors is an integer number (1328296741200).

Almost surely, 2^{110100100110102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110100100110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127516487155200).

110100100110102 is an abundant number, since it is smaller than the sum of its proper divisors (144932874200298).

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

110100100110102 is a wasteful number, since it uses less digits than its factorization.

110100100110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7963 (or 7960 counting only the distinct ones).

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

Adding to 110100100110102 its reverse (201011001001011), we get a palindrome (311111101111113).

The spelling of 110100100110102 in words is "one hundred ten trillion, one hundred billion, one hundred million, one hundred ten thousand, one hundred two".