1020253002001 has 8 divisors (see below), whose sum is σ = 1048704255144. Its totient is φ = 991971607680.

The previous prime is 1020253001981. The next prime is 1020253002011. The reversal of 1020253002001 is 1002003520201.

1020253002001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22603619025 + 997649382976 = 150345^2 + 998824^2 .

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 1020253002001 - 2¹⁵ = 1020252969233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020253002011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42452526 + ... + 42476551.

It is an arithmetic number, because the mean of its divisors is an integer number (131088031893).

Almost surely, 2^{1020253002001} is an apocalyptic number.

It is an amenable number.

1020253002001 is a deficient number, since it is larger than the sum of its proper divisors (28451253143).

1020253002001 is an equidigital number, since it uses as much as digits as its factorization.

1020253002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84929411.

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 1020253002001 its reverse (1002003520201), we get a palindrome (2022256522202).

The spelling of 1020253002001 in words is "one trillion, twenty billion, two hundred fifty-three million, two thousand, one".