100100211121103 has 2 divisors, whose sum is σ = 100100211121104. Its totient is φ = 100100211121102.

The previous prime is 100100211121081. The next prime is 100100211121133. The reversal of 100100211121103 is 301121112001001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100100211121103 - 2²⁸ = 100099942685647 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100211121133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050105560551 + 50050105560552.

It is an arithmetic number, because the mean of its divisors is an integer number (50050105560552).

Almost surely, 2^{100100211121103} is an apocalyptic number.

100100211121103 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100211121103 is an equidigital number, since it uses as much as digits as its factorization.

100100211121103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100100211121103 its reverse (301121112001001), we get a palindrome (401221323122104).

The spelling of 100100211121103 in words is "one hundred trillion, one hundred billion, two hundred eleven million, one hundred twenty-one thousand, one hundred three".