10101110110100 has 18 divisors (see below), whose sum is σ = 21919408939134. Its totient is φ = 4040444044000.

The previous prime is 10101110110087. The next prime is 10101110110109. The reversal of 10101110110100 is 101101110101.

It can be written as a sum of positive squares in 3 ways, for example, as 137958759184 + 9963151350916 = 371428^2 + 3156446^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101110110109) 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 5 ways as a sum of consecutive naturals, for example, 50505550451 + ... + 50505550650.

It is an arithmetic number, because the mean of its divisors is an integer number (1217744941063).

Almost surely, 2^{10101110110100} is an apocalyptic number.

10101110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101110110100 is an abundant number, since it is smaller than the sum of its proper divisors (11818298829034).

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

10101110110100 is a wasteful number, since it uses less digits than its factorization.

10101110110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101011101115 (or 101011101108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10101110110100 its reverse (101101110101), we get a palindrome (10202211220201).

The spelling of 10101110110100 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, one hundred".