1001100110114 has 16 divisors (see below), whose sum is σ = 1621021308480. Its totient is φ = 460943464080.

The previous prime is 1001100110113. The next prime is 1001100110117. The reversal of 1001100110114 is 4110110011001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001100110095 and 1001100110104.

It is not an unprimeable number, because it can be changed into a prime (1001100110113) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 45936422 + ... + 45958209.

It is an arithmetic number, because the mean of its divisors is an integer number (101313831780).

Almost surely, 2^{1001100110114} is an apocalyptic number.

1001100110114 is a deficient number, since it is larger than the sum of its proper divisors (619921198366).

1001100110114 is a wasteful number, since it uses less digits than its factorization.

1001100110114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91895065.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1001100110114 its reverse (4110110011001), we get a palindrome (5111210121115).

The spelling of 1001100110114 in words is "one trillion, one billion, one hundred million, one hundred ten thousand, one hundred fourteen".