121221132100100 has 36 divisors (see below), whose sum is σ = 268013061511524. Its totient is φ = 47573576369280.

The previous prime is 121221132100051. The next prime is 121221132100109. The reversal of 121221132100100 is 1001231122121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11653538857984 + 109567593242116 = 3413728^2 + 10467454^2 .

It is not an unprimeable number, because it can be changed into a prime (121221132100109) 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, 11435950559 + ... + 11435961158.

It is an arithmetic number, because the mean of its divisors is an integer number (7444807264209).

Almost surely, 2^{121221132100100} is an apocalyptic number.

121221132100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221132100100 is an abundant number, since it is smaller than the sum of its proper divisors (146791929411424).

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

121221132100100 is a wasteful number, since it uses less digits than its factorization.

121221132100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22871911784 (or 22871911777 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 121221132100100 its reverse (1001231122121), we get a palindrome (122222363222221).

The spelling of 121221132100100 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred thirty-two million, one hundred thousand, one hundred".