10110110110100 has 432 divisors, whose sum is σ = 29754018204288. Its totient is φ = 2879712000000.

The previous prime is 10110110110099. The next prime is 10110110110117. The reversal of 10110110110100 is 101101101101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1021115150 + ... + 1021125050.

Almost surely, 2^{10110110110100} is an apocalyptic number.

10110110110100 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 10110110110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14877009102144).

10110110110100 is an abundant number, since it is smaller than the sum of its proper divisors (19643908094188).

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

10110110110100 is a wasteful number, since it uses less digits than its factorization.

10110110110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148 (or 10040 counting only the distinct ones).

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

Adding to 10110110110100 its reverse (101101101101), we get a palindrome (10211211211201).

10110110110100 divided by its reverse (101101101101) gives a square (100 = 10²).

It can be divided in two parts, 101101 and 10110100, that multiplied together give a square (1022141220100 = 1011010²).

The spelling of 10110110110100 in words is "ten trillion, one hundred ten billion, one hundred ten million, one hundred ten thousand, one hundred".