100202100101111 has 2 divisors, whose sum is σ = 100202100101112. Its totient is φ = 100202100101110.

The previous prime is 100202100101083. The next prime is 100202100101113. The reversal of 100202100101111 is 111101001202001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100202100101111 - 2¹⁰ = 100202100100087 is a prime.

Together with 100202100101113, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100202100101092 and 100202100101101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100202100101113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101050050555 + 50101050050556.

It is an arithmetic number, because the mean of its divisors is an integer number (50101050050556).

Almost surely, 2^{100202100101111} is an apocalyptic number.

100202100101111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202100101111 is an equidigital number, since it uses as much as digits as its factorization.

100202100101111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100202100101111 its reverse (111101001202001), we get a palindrome (211303101303112).

The spelling of 100202100101111 in words is "one hundred trillion, two hundred two billion, one hundred million, one hundred one thousand, one hundred eleven".