110010011100102 has 96 divisors (see below), whose sum is σ = 255871182460608. Its totient is φ = 34070111336448.

The previous prime is 110010011100071. The next prime is 110010011100103. The reversal of 110010011100102 is 201001110010011.

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 (110010011100103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3028138 + ... + 15139010.

It is an arithmetic number, because the mean of its divisors is an integer number (2665324817298).

Almost surely, 2^{110010011100102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010011100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127935591230304).

110010011100102 is an abundant number, since it is smaller than the sum of its proper divisors (145861171360506).

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

110010011100102 is a wasteful number, since it uses less digits than its factorization.

110010011100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12111534 (or 12111531 counting only the distinct ones).

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

Adding to 110010011100102 its reverse (201001110010011), we get a palindrome (311011121110113).

The spelling of 110010011100102 in words is "one hundred ten trillion, ten billion, eleven million, one hundred thousand, one hundred two".