100363514121 has 12 divisors (see below), whose sum is σ = 156121022148. Its totient is φ = 61762162464.

The previous prime is 100363514071. The next prime is 100363514129. The reversal of 100363514121 is 121415363001.

It is a happy number.

100363514121 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 635 + 1 + 4 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61382540025 + 38980974096 = 247755^2 + 197436^2 .

It is not a de Polignac number, because 100363514121 - 2⁷ = 100363513993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100363514129) 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 11 ways as a sum of consecutive naturals, for example, 428903790 + ... + 428904023.

It is an arithmetic number, because the mean of its divisors is an integer number (13010085179).

Almost surely, 2^100363514121 is an apocalyptic number.

It is an amenable number.

100363514121 is a deficient number, since it is larger than the sum of its proper divisors (55757508027).

100363514121 is a wasteful number, since it uses less digits than its factorization.

100363514121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857807832 (or 857807829 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 100363514121 its reverse (121415363001), we get a palindrome (221778877122).

The spelling of 100363514121 in words is "one hundred billion, three hundred sixty-three million, five hundred fourteen thousand, one hundred twenty-one".