100242010140201 has 24 divisors (see below), whose sum is σ = 146137450197960. Its totient is φ = 66209876272896.

The previous prime is 100242010140169. The next prime is 100242010140271. The reversal of 100242010140201 is 102041010242001.

100242010140201 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 420 + 1 + 0 + 1 + 40 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70361312067225 + 29880698072976 = 8388165^2 + 5466324^2 .

It is not a de Polignac number, because 100242010140201 - 2⁵ = 100242010140169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100242010140271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79234170 + ... + 80489363.

It is an arithmetic number, because the mean of its divisors is an integer number (6089060424915).

Almost surely, 2^{100242010140201} is an apocalyptic number.

It is an amenable number.

100242010140201 is a deficient number, since it is larger than the sum of its proper divisors (45895440057759).

100242010140201 is a wasteful number, since it uses less digits than its factorization.

100242010140201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159724185 (or 159724182 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100242010140201 its reverse (102041010242001), we get a palindrome (202283020382202).

The spelling of 100242010140201 in words is "one hundred trillion, two hundred forty-two billion, ten million, one hundred forty thousand, two hundred one".