1002201020001 has 6 divisors (see below), whose sum is σ = 1447623695570. Its totient is φ = 668134013328.

The previous prime is 1002201019987. The next prime is 1002201020047. The reversal of 1002201020001 is 1000201022001.

It can be written as a sum of positive squares in only one way, i.e., 512403998976 + 489797021025 = 715824^2 + 699855^2 .

It is not a de Polignac number, because 1002201020001 - 2⁹ = 1002201019489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111355668889 = 1002201020001 / (1 + 0 + 0 + 2 + 2 + 0 + 1 + 0 + 2 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002201020101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55677834436 + ... + 55677834453.

Almost surely, 2^{1002201020001} is an apocalyptic number.

It is an amenable number.

1002201020001 is a deficient number, since it is larger than the sum of its proper divisors (445422675569).

1002201020001 is a wasteful number, since it uses less digits than its factorization.

1002201020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111355668895 (or 111355668892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002201020001 its reverse (1000201022001), we get a palindrome (2002402042002).

The spelling of 1002201020001 in words is "one trillion, two billion, two hundred one million, twenty thousand, one".