100211112101 has 2 divisors, whose sum is σ = 100211112102. Its totient is φ = 100211112100.

The previous prime is 100211112091. The next prime is 100211112107. The reversal of 100211112101 is 101211112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100118452225 + 92659876 = 316415^2 + 9626^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211112101 - 2¹⁸ = 100210849957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100211112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105556050 + 50105556051.

It is an arithmetic number, because the mean of its divisors is an integer number (50105556051).

Almost surely, 2^100211112101 is an apocalyptic number.

It is an amenable number.

100211112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211112101 is an equidigital number, since it uses as much as digits as its factorization.

100211112101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100211112101 its reverse (101211112001), we get a palindrome (201422224102).

The spelling of 100211112101 in words is "one hundred billion, two hundred eleven million, one hundred twelve thousand, one hundred one".