110101101000100 has 216 divisors, whose sum is σ = 278505549504000. Its totient is φ = 37670403778560.

The previous prime is 110101101000049. The next prime is 110101101000103. The reversal of 110101101000100 is 1000101101011.

It is a happy number.

110101101000100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (110101101000103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4729620261 + ... + 4729643539.

It is an arithmetic number, because the mean of its divisors is an integer number (1289377544000).

Almost surely, 2^{110101101000100} is an apocalyptic number.

110101101000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110101101000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139252774752000).

110101101000100 is an abundant number, since it is smaller than the sum of its proper divisors (168404448503900).

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

110101101000100 is a wasteful number, since it uses less digits than its factorization.

110101101000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25275 (or 25261 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110101101000100 its reverse (1000101101011), we get a palindrome (111101202101111).

The spelling of 110101101000100 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, one hundred", and thus it is an aban number.