1001121022141 has 2 divisors, whose sum is σ = 1001121022142. Its totient is φ = 1001121022140.

The previous prime is 1001121022133. The next prime is 1001121022157. The reversal of 1001121022141 is 1412201211001.

It is an a-pointer prime, because the next prime (1001121022157) can be obtained adding 1001121022141 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 997541512900 + 3579509241 = 998770^2 + 59829^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001121022141 - 2³ = 1001121022133 is a prime.

It is a super-2 number, since 2×1001121022141² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001121622141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560511070 + 500560511071.

It is an arithmetic number, because the mean of its divisors is an integer number (500560511071).

Almost surely, 2^{1001121022141} is an apocalyptic number.

It is an amenable number.

1001121022141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121022141 is an equidigital number, since it uses as much as digits as its factorization.

1001121022141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1001121022141 its reverse (1412201211001), we get a palindrome (2413322233142).

The spelling of 1001121022141 in words is "one trillion, one billion, one hundred twenty-one million, twenty-two thousand, one hundred forty-one".