100202201010205 has 16 divisors (see below), whose sum is σ = 138117725665920. Its totient is φ = 68361298552512.

The previous prime is 100202201010181. The next prime is 100202201010229. The reversal of 100202201010205 is 502010102202001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100202201010181) and next prime (100202201010229).

It is not a de Polignac number, because 100202201010205 - 2³⁵ = 100167841271837 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7266287595 + ... + 7266301384.

It is an arithmetic number, because the mean of its divisors is an integer number (8632357854120).

Almost surely, 2^{100202201010205} is an apocalyptic number.

It is an amenable number.

100202201010205 is a deficient number, since it is larger than the sum of its proper divisors (37915524655715).

100202201010205 is a wasteful number, since it uses less digits than its factorization.

100202201010205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14532589188.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 100202201010205 its reverse (502010102202001), we get a palindrome (602212303212206).

The spelling of 100202201010205 in words is "one hundred trillion, two hundred two billion, two hundred one million, ten thousand, two hundred five".