111001101012101 has 2 divisors, whose sum is σ = 111001101012102. Its totient is φ = 111001101012100.

The previous prime is 111001101012077. The next prime is 111001101012143. The reversal of 111001101012101 is 101210101100111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110670189600100 + 330911412001 = 10519990^2 + 575249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111001101012101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111001101212101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500550506050 + 55500550506051.

It is an arithmetic number, because the mean of its divisors is an integer number (55500550506051).

Almost surely, 2^{111001101012101} is an apocalyptic number.

It is an amenable number.

111001101012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001101012101 is an equidigital number, since it uses as much as digits as its factorization.

111001101012101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 111001101012101 its reverse (101210101100111), we get a palindrome (212211202112212).

The spelling of 111001101012101 in words is "one hundred eleven trillion, one billion, one hundred one million, twelve thousand, one hundred one".