110100101010100 has 36 divisors (see below), whose sum is σ = 238936104196524. Its totient is φ = 44036559297280.

The previous prime is 110100101010091. The next prime is 110100101010121. The reversal of 110100101010100 is 1010101001011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 22601999272336 + 87498101737764 = 4754156^2 + 9354042^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42242209 + ... + 44772808.

It is an arithmetic number, because the mean of its divisors is an integer number (6637114005459).

Almost surely, 2^{110100101010100} is an apocalyptic number.

110100101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100101010100 is an abundant number, since it is smaller than the sum of its proper divisors (128836003186424).

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

110100101010100 is a wasteful number, since it uses less digits than its factorization.

110100101010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87027684 (or 87027677 counting only the distinct ones).

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

Adding to 110100101010100 its reverse (1010101001011), we get a palindrome (111110202011111).

The spelling of 110100101010100 in words is "one hundred ten trillion, one hundred billion, one hundred one million, ten thousand, one hundred".