1005210121397 has 16 divisors (see below), whose sum is σ = 1122106089600. Its totient is φ = 894887976960.

The previous prime is 1005210121373. The next prime is 1005210121429. The reversal of 1005210121397 is 7931210125001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1005210121397 - 2²⁰ = 1005209072821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005210121337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2220497 + ... + 2634582.

It is an arithmetic number, because the mean of its divisors is an integer number (70131630600).

Almost surely, 2^{1005210121397} is an apocalyptic number.

1005210121397 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1005210121397 is a deficient number, since it is larger than the sum of its proper divisors (116895968203).

1005210121397 is a wasteful number, since it uses less digits than its factorization.

1005210121397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855756.

The product of its (nonzero) digits is 3780, while the sum is 32.

Adding to 1005210121397 its reverse (7931210125001), we get a palindrome (8936420246398).

The spelling of 1005210121397 in words is "one trillion, five billion, two hundred ten million, one hundred twenty-one thousand, three hundred ninety-seven".