1011001110100 has 36 divisors (see below), whose sum is σ = 2194217178300. Its totient is φ = 404336892160.

The previous prime is 1011001110017. The next prime is 1011001110103. The reversal of 1011001110100 is 10111001101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 449202891076 + 561798219024 = 670226^2 + 749532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011001110103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152305 + ... + 1430104.

It is an arithmetic number, because the mean of its divisors is an integer number (60950477175).

Almost surely, 2^{1011001110100} is an apocalyptic number.

1011001110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011001110100 is an abundant number, since it is smaller than the sum of its proper divisors (1183216068200).

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

1011001110100 is a wasteful number, since it uses less digits than its factorization.

1011001110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588812 (or 1588805 counting only the distinct ones).

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

Adding to 1011001110100 its reverse (10111001101), we get a palindrome (1021112111201).

The spelling of 1011001110100 in words is "one trillion, eleven billion, one million, one hundred ten thousand, one hundred".