13121221114100 has 72 divisors (see below), whose sum is σ = 31647575238048. Its totient is φ = 4681327580800.

The previous prime is 13121221114093. The next prime is 13121221114103. The reversal of 13121221114100 is 141112212131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121221114103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112473614 + ... + 112590213.

It is an arithmetic number, because the mean of its divisors is an integer number (439549656084).

Almost surely, 2^{13121221114100} is an apocalyptic number.

13121221114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121221114100 is an abundant number, since it is smaller than the sum of its proper divisors (18526354123948).

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

13121221114100 is a wasteful number, since it uses less digits than its factorization.

13121221114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225063905 (or 225063898 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 13121221114100 its reverse (141112212131), we get a palindrome (13262333326231).

The spelling of 13121221114100 in words is "thirteen trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred fourteen thousand, one hundred".