100101311111300 has 18 divisors (see below), whose sum is σ = 217219845111738. Its totient is φ = 40040524444480.

The previous prime is 100101311111297. The next prime is 100101311111323. The reversal of 100101311111300 is 3111113101001.

It can be written as a sum of positive squares in 3 ways, for example, as 18822287233156 + 81279023878144 = 4338466^2 + 9015488^2 .

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 5 ways as a sum of consecutive naturals, for example, 500506555457 + ... + 500506555656.

Almost surely, 2^{100101311111300} is an apocalyptic number.

100101311111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101311111300 is an abundant number, since it is smaller than the sum of its proper divisors (117118534000438).

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

100101311111300 is a wasteful number, since it uses less digits than its factorization.

100101311111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001013111127 (or 1001013111120 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 100101311111300 its reverse (3111113101001), we get a palindrome (103212424212301).

The spelling of 100101311111300 in words is "one hundred trillion, one hundred one billion, three hundred eleven million, one hundred eleven thousand, three hundred".