1001111010100 has 18 divisors (see below), whose sum is σ = 2172410892134. Its totient is φ = 400444404000.

The previous prime is 1001111010013. The next prime is 1001111010101. The reversal of 1001111010100 is 10101111001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8126661904 + 992984348196 = 90148^2 + 996486^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001111010101) 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, 5005554951 + ... + 5005555150.

Almost surely, 2^{1001111010100} is an apocalyptic number.

1001111010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001111010100 is an abundant number, since it is smaller than the sum of its proper divisors (1171299882034).

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

1001111010100 is a wasteful number, since it uses less digits than its factorization.

1001111010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011110115 (or 10011110108 counting only the distinct ones).

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

Adding to 1001111010100 its reverse (10101111001), we get a palindrome (1011212121101).

The spelling of 1001111010100 in words is "one trillion, one billion, one hundred eleven million, ten thousand, one hundred".