100201542205 has 16 divisors (see below), whose sum is σ = 127324585584. Its totient is φ = 75440128000.

The previous prime is 100201542187. The next prime is 100201542209. The reversal of 100201542205 is 502245102001.

It can be written as a sum of positive squares in 8 ways, for example, as 23380550649 + 76820991556 = 152907^2 + 277166^2 .

It is not a de Polignac number, because 100201542205 - 2²³ = 100193153597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201542209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323249 + ... + 1396921.

It is an arithmetic number, because the mean of its divisors is an integer number (7957786599).

Almost surely, 2^100201542205 is an apocalyptic number.

It is an amenable number.

100201542205 is a deficient number, since it is larger than the sum of its proper divisors (27123043379).

100201542205 is a wasteful number, since it uses less digits than its factorization.

100201542205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89696.

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 100201542205 its reverse (502245102001), we get a palindrome (602446644206).

The spelling of 100201542205 in words is "one hundred billion, two hundred one million, five hundred forty-two thousand, two hundred five".