1311102212100 has 36 divisors (see below), whose sum is σ = 3793455734544. Its totient is φ = 349627256480.

The previous prime is 1311102212099. The next prime is 1311102212113. The reversal of 1311102212100 is 12122011131.

It is a super-3 number, since 3×1311102212100³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1311102212100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2185170054 + ... + 2185170653.

It is an arithmetic number, because the mean of its divisors is an integer number (105373770404).

Almost surely, 2^{1311102212100} is an apocalyptic number.

1311102212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311102212100 is an abundant number, since it is smaller than the sum of its proper divisors (2482353522444).

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

1311102212100 is a wasteful number, since it uses less digits than its factorization.

1311102212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370340724 (or 4370340717 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1311102212100 its reverse (12122011131), we get a palindrome (1323224223231).

The spelling of 1311102212100 in words is "one trillion, three hundred eleven billion, one hundred two million, two hundred twelve thousand, one hundred".