121332132102100 has 36 divisors (see below), whose sum is σ = 278778416469084. Its totient is φ = 45677979143680.

The previous prime is 121332132102073. The next prime is 121332132102101. The reversal of 121332132102100 is 1201231233121.

It can be written as a sum of positive squares in 6 ways, for example, as 2628535868176 + 118703596233924 = 1621276^2 + 10895118^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121332132102101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35685919507 + ... + 35685922906.

It is an arithmetic number, because the mean of its divisors is an integer number (7743844901919).

Almost surely, 2^{121332132102100} is an apocalyptic number.

121332132102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121332132102100 is an abundant number, since it is smaller than the sum of its proper divisors (157446284366984).

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

121332132102100 is a wasteful number, since it uses less digits than its factorization.

121332132102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71371842444 (or 71371842437 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 121332132102100 its reverse (1201231233121), we get a palindrome (122533363335221).

The spelling of 121332132102100 in words is "one hundred twenty-one trillion, three hundred thirty-two billion, one hundred thirty-two million, one hundred two thousand, one hundred".