135505502110100 has 72 divisors (see below), whose sum is σ = 294142221635640. Its totient is φ = 54184640532480.

The previous prime is 135505502110007. The next prime is 135505502110159. The reversal of 135505502110100 is 1011205505531.

It can be written as a sum of positive squares in 12 ways, for example, as 7634909501956 + 127870592608144 = 2763134^2 + 11307988^2 .

It is a super-2 number, since 2×135505502110100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5606570816 + ... + 5606594984.

Almost surely, 2^{135505502110100} is an apocalyptic number.

135505502110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135505502110100 is an abundant number, since it is smaller than the sum of its proper divisors (158636719525540).

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

135505502110100 is a wasteful number, since it uses less digits than its factorization.

135505502110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40029 (or 40022 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

Adding to 135505502110100 its reverse (1011205505531), we get a palindrome (136516707615631).

The spelling of 135505502110100 in words is "one hundred thirty-five trillion, five hundred five billion, five hundred two million, one hundred ten thousand, one hundred".