1001013111121 has 2 divisors, whose sum is σ = 1001013111122. Its totient is φ = 1001013111120.

The previous prime is 1001013111113. The next prime is 1001013111139. The reversal of 1001013111121 is 1211113101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 945637608721 + 55375502400 = 972439^2 + 235320^2 .

It is an emirp because it is prime and its reverse (1211113101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001013111121 - 2³ = 1001013111113 is a prime.

It is a super-2 number, since 2×1001013111121² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001013111101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500506555560 + 500506555561.

It is an arithmetic number, because the mean of its divisors is an integer number (500506555561).

Almost surely, 2^{1001013111121} is an apocalyptic number.

It is an amenable number.

1001013111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001013111121 is an equidigital number, since it uses as much as digits as its factorization.

1001013111121 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.

Adding to 1001013111121 its reverse (1211113101001), we get a palindrome (2212126212122).

The spelling of 1001013111121 in words is "one trillion, one billion, thirteen million, one hundred eleven thousand, one hundred twenty-one".