100202002100011 has 32 divisors (see below), whose sum is σ = 119771612928000. Its totient is φ = 81963435079680.

The previous prime is 100202002099981. The next prime is 100202002100021. The reversal of 100202002100011 is 110001200202001.

It is a de Polignac number, because none of the positive numbers 2^k-100202002100011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100202002100021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990959346 + ... + 991060456.

It is an arithmetic number, because the mean of its divisors is an integer number (3742862904000).

Almost surely, 2^{100202002100011} is an apocalyptic number.

100202002100011 is a deficient number, since it is larger than the sum of its proper divisors (19569610827989).

100202002100011 is a wasteful number, since it uses less digits than its factorization.

100202002100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115299.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100202002100011 its reverse (110001200202001), we get a palindrome (210203202302012).

The spelling of 100202002100011 in words is "one hundred trillion, two hundred two billion, two million, one hundred thousand, eleven".