101001100011100 has 18 divisors (see below), whose sum is σ = 219172387024304. Its totient is φ = 40400440004400.

The previous prime is 101001100011037. The next prime is 101001100011121. The reversal of 101001100011100 is 1110001100101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 505005499956 + ... + 505005500155.

Almost surely, 2^{101001100011100} is an apocalyptic number.

101001100011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001100011100 is an abundant number, since it is smaller than the sum of its proper divisors (118171287013204).

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

101001100011100 is a wasteful number, since it uses less digits than its factorization.

101001100011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010011000125 (or 1010011000118 counting only the distinct ones).

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

Adding to 101001100011100 its reverse (1110001100101), we get a palindrome (102111101111201).

The spelling of 101001100011100 in words is "one hundred one trillion, one billion, one hundred million, eleven thousand, one hundred".