1001101110100 has 108 divisors (see below), whose sum is σ = 2721455037084. Its totient is φ = 316831979520.

The previous prime is 1001101110091. The next prime is 1001101110131. The reversal of 1001101110100 is 10111011001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33195382416 + 967905727684 = 182196^2 + 983822^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

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 35 ways as a sum of consecutive naturals, for example, 7794237 + ... + 7921636.

Almost surely, 2^{1001101110100} is an apocalyptic number.

1001101110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001101110100 is an abundant number, since it is smaller than the sum of its proper divisors (1720353926984).

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

1001101110100 is a wasteful number, since it uses less digits than its factorization.

1001101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15715914 (or 15715900 counting only the distinct ones).

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

Adding to 1001101110100 its reverse (10111011001), we get a palindrome (1011212121101).

Subtracting from 1001101110100 its reverse (10111011001), we obtain a palindrome (990990099099).

It can be divided in two parts, 1001 and 101110100, that added together give a palindrome (101111101).

The spelling of 1001101110100 in words is "one trillion, one billion, one hundred one million, one hundred ten thousand, one hundred".