100201001011127 has 2 divisors, whose sum is σ = 100201001011128. Its totient is φ = 100201001011126.

The previous prime is 100201001011121. The next prime is 100201001011129. The reversal of 100201001011127 is 721110100102001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100201001011127 - 2⁶ = 100201001011063 is a prime.

Together with 100201001011129, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201001011121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100500505563 + 50100500505564.

It is an arithmetic number, because the mean of its divisors is an integer number (50100500505564).

Almost surely, 2^{100201001011127} is an apocalyptic number.

100201001011127 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201001011127 is an equidigital number, since it uses as much as digits as its factorization.

100201001011127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 100201001011127 its reverse (721110100102001), we get a palindrome (821311101113128).

The spelling of 100201001011127 in words is "one hundred trillion, two hundred one billion, one million, eleven thousand, one hundred twenty-seven".