1020103122001 has 8 divisors (see below), whose sum is σ = 1040833056744. Its totient is φ = 999428102400.

The previous prime is 1020103121987. The next prime is 1020103122037. The reversal of 1020103122001 is 1002213010201.

It can be written as a sum of positive squares in 4 ways, for example, as 138384000000 + 881719122001 = 372000^2 + 938999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020103122001 - 2⁹ = 1020103121489 is a prime.

It is a super-2 number, since 2×1020103122001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020103122091) 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 7 ways as a sum of consecutive naturals, for example, 13691256 + ... + 13765561.

It is an arithmetic number, because the mean of its divisors is an integer number (130104132093).

Almost surely, 2^{1020103122001} is an apocalyptic number.

It is an amenable number.

1020103122001 is a deficient number, since it is larger than the sum of its proper divisors (20729934743).

1020103122001 is an equidigital number, since it uses as much as digits as its factorization.

1020103122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27457571.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1020103122001 its reverse (1002213010201), we get a palindrome (2022316132202).

The spelling of 1020103122001 in words is "one trillion, twenty billion, one hundred three million, one hundred twenty-two thousand, one".