100502101205001 has 6 divisors (see below), whose sum is σ = 145169701740570. Its totient is φ = 67001400803328.

The previous prime is 100502101204997. The next prime is 100502101205021.

100502101205001 is a `hidden beast` number, since 10 + 0 + 50 + 2 + 101 + 2 + 0 + 500 + 1 = 666.

100502101205001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 96330299040000 + 4171802165001 = 9814800^2 + 2042499^2 .

It is not a de Polignac number, because 100502101205001 - 2² = 100502101204997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100502101205021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5583450066936 + ... + 5583450066953.

It is an arithmetic number, because the mean of its divisors is an integer number (24194950290095).

Almost surely, 2^{100502101205001} is an apocalyptic number.

It is an amenable number.

100502101205001 is a deficient number, since it is larger than the sum of its proper divisors (44667600535569).

100502101205001 is a wasteful number, since it uses less digits than its factorization.

100502101205001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11166900133895 (or 11166900133892 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

It can be divided in two parts, 10050210 and 1205001, that added together give a palindrome (11255211).

The spelling of 100502101205001 in words is "one hundred trillion, five hundred two billion, one hundred one million, two hundred five thousand, one".