1072131245021 has 2 divisors, whose sum is σ = 1072131245022. Its totient is φ = 1072131245020.

The previous prime is 1072131244993. The next prime is 1072131245023. The reversal of 1072131245021 is 1205421312701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 941315205796 + 130816039225 = 970214^2 + 361685^2 .

It is an emirp because it is prime and its reverse (1205421312701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1072131245021 - 2¹⁸ = 1072130982877 is a prime.

It is a super-3 number, since 3×1072131245021³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 1072131245023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1072131245023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 536065622510 + 536065622511.

It is an arithmetic number, because the mean of its divisors is an integer number (536065622511).

Almost surely, 2^{1072131245021} is an apocalyptic number.

It is an amenable number.

1072131245021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072131245021 is an equidigital number, since it uses as much as digits as its factorization.

1072131245021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 1072131245021 its reverse (1205421312701), we get a palindrome (2277552557722).

The spelling of 1072131245021 in words is "one trillion, seventy-two billion, one hundred thirty-one million, two hundred forty-five thousand, twenty-one".