1000106111101 has 2 divisors, whose sum is σ = 1000106111102. Its totient is φ = 1000106111100.

The previous prime is 1000106111087. The next prime is 1000106111111. The reversal of 1000106111101 is 1011116010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 974257832025 + 25848279076 = 987045^2 + 160774^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000106111101 - 2⁹ = 1000106110589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000106111111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500053055550 + 500053055551.

It is an arithmetic number, because the mean of its divisors is an integer number (500053055551).

Almost surely, 2^{1000106111101} is an apocalyptic number.

It is an amenable number.

1000106111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000106111101 is an equidigital number, since it uses as much as digits as its factorization.

1000106111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 13.

The spelling of 1000106111101 in words is "one trillion, one hundred six million, one hundred eleven thousand, one hundred one".