1001113202101 has 2 divisors, whose sum is σ = 1001113202102. Its totient is φ = 1001113202100.

The previous prime is 1001113202081. The next prime is 1001113202119. The reversal of 1001113202101 is 1012023111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 929776134001 + 71337068100 = 964249^2 + 267090^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001113202101 - 2¹⁹ = 1001112677813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001113202171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500556601050 + 500556601051.

It is an arithmetic number, because the mean of its divisors is an integer number (500556601051).

Almost surely, 2^{1001113202101} is an apocalyptic number.

It is an amenable number.

1001113202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001113202101 is an equidigital number, since it uses as much as digits as its factorization.

1001113202101 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 13.

Adding to 1001113202101 its reverse (1012023111001), we get a palindrome (2013136313102).

The spelling of 1001113202101 in words is "one trillion, one billion, one hundred thirteen million, two hundred two thousand, one hundred one".