121132300314100 has 72 divisors (see below), whose sum is σ = 271949373423000. Its totient is φ = 46777270579200.

The previous prime is 121132300314041. The next prime is 121132300314127. The reversal of 121132300314100 is 1413003231121.

It can be written as a sum of positive squares in 12 ways, for example, as 91490525844624 + 29641774469476 = 9565068^2 + 5444426^2 .

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, 25817640 + ... + 30146560.

It is an arithmetic number, because the mean of its divisors is an integer number (3777074630875).

Almost surely, 2^{121132300314100} is an apocalyptic number.

121132300314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121132300314100 is an abundant number, since it is smaller than the sum of its proper divisors (150817073108900).

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

121132300314100 is a wasteful number, since it uses less digits than its factorization.

121132300314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338613 (or 4338606 counting only the distinct ones).

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

Adding to 121132300314100 its reverse (1413003231121), we get a palindrome (122545303545221).

The spelling of 121132300314100 in words is "one hundred twenty-one trillion, one hundred thirty-two billion, three hundred million, three hundred fourteen thousand, one hundred".