1001142413021 has 2 divisors, whose sum is σ = 1001142413022. Its totient is φ = 1001142413020.

The previous prime is 1001142412967. The next prime is 1001142413027. The reversal of 1001142413021 is 1203142411001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 894859240900 + 106283172121 = 945970^2 + 326011^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001142413021 - 2¹⁴ = 1001142396637 is a prime.

It is a super-2 number, since 2×1001142413021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001142412984 and 1001142413002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001142413027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500571206510 + 500571206511.

It is an arithmetic number, because the mean of its divisors is an integer number (500571206511).

Almost surely, 2^{1001142413021} is an apocalyptic number.

It is an amenable number.

1001142413021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001142413021 is an equidigital number, since it uses as much as digits as its factorization.

1001142413021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1001142413021 its reverse (1203142411001), we get a palindrome (2204284824022).

The spelling of 1001142413021 in words is "one trillion, one billion, one hundred forty-two million, four hundred thirteen thousand, twenty-one".