101012122201103 has 2 divisors, whose sum is σ = 101012122201104. Its totient is φ = 101012122201102.

The previous prime is 101012122201061. The next prime is 101012122201121. The reversal of 101012122201103 is 301102221210101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012122201103 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012122201603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506061100551 + 50506061100552.

It is an arithmetic number, because the mean of its divisors is an integer number (50506061100552).

Almost surely, 2^{101012122201103} is an apocalyptic number.

101012122201103 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012122201103 is an equidigital number, since it uses as much as digits as its factorization.

101012122201103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101012122201103 its reverse (301102221210101), we get a palindrome (402114343411204).

The spelling of 101012122201103 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, two hundred one thousand, one hundred three".