1001100121110 has 96 divisors (see below), whose sum is σ = 2673522925632. Its totient is φ = 259714287360.

The previous prime is 1001100121069. The next prime is 1001100121111. The reversal of 1001100121110 is 111210011001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001100121092 and 1001100121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100121111) 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 47 ways as a sum of consecutive naturals, for example, 46899040 + ... + 46920380.

It is an arithmetic number, because the mean of its divisors is an integer number (27849197142).

Almost surely, 2^{1001100121110} is an apocalyptic number.

1001100121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001100121110 is an abundant number, since it is smaller than the sum of its proper divisors (1672422804522).

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

1001100121110 is a wasteful number, since it uses less digits than its factorization.

1001100121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35478 (or 35475 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001100121110 its reverse (111210011001), we get a palindrome (1112310132111).

The spelling of 1001100121110 in words is "one trillion, one billion, one hundred million, one hundred twenty-one thousand, one hundred ten".