21100121134240 has 48 divisors (see below), whose sum is σ = 49957168753800. Its totient is φ = 8421740293120.

The previous prime is 21100121134177. The next prime is 21100121134243. The reversal of 21100121134240 is 4243112100112.

It can be written as a sum of positive squares in 4 ways, for example, as 12342096449424 + 8758024684816 = 3513132^2 + 2959396^2 .

It is a super-2 number, since 2×21100121134240² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21100121134243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142958515 + ... + 143106034.

Almost surely, 2^{21100121134240} is an apocalyptic number.

21100121134240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100121134240 is an abundant number, since it is smaller than the sum of its proper divisors (28857047619560).

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

21100121134240 is a wasteful number, since it uses less digits than its factorization.

21100121134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286065025 (or 286065017 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 21100121134240 its reverse (4243112100112), we get a palindrome (25343233234352).

The spelling of 21100121134240 in words is "twenty-one trillion, one hundred billion, one hundred twenty-one million, one hundred thirty-four thousand, two hundred forty".