132121413342100 has 432 divisors, whose sum is σ = 367577037313920. Its totient is φ = 40313229465600.

The previous prime is 132121413342041. The next prime is 132121413342133. The reversal of 132121413342100 is 1243314121231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2370585834 + ... + 2370641566.

It is an arithmetic number, because the mean of its divisors is an integer number (850872771560).

Almost surely, 2^{132121413342100} is an apocalyptic number.

132121413342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132121413342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183788518656960).

132121413342100 is an abundant number, since it is smaller than the sum of its proper divisors (235455623971820).

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

132121413342100 is a wasteful number, since it uses less digits than its factorization.

132121413342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56500 (or 56480 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 132121413342100 its reverse (1243314121231), we get a palindrome (133364727463331).

The spelling of 132121413342100 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, four hundred thirteen million, three hundred forty-two thousand, one hundred".