1020002201001 has 18 divisors (see below), whose sum is σ = 1713881250042. Its totient is φ = 582858400320.

The previous prime is 1020002200969. The next prime is 1020002201003. The reversal of 1020002201001 is 1001022000201.

It can be written as a sum of positive squares in only one way, i.e., 791877515625 + 228124685376 = 889875^2 + 477624^2 .

It is not a de Polignac number, because 1020002201001 - 2⁵ = 1020002200969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1020002201003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1156464640 + ... + 1156465521.

Almost surely, 2^{1020002201001} is an apocalyptic number.

It is an amenable number.

1020002201001 is a deficient number, since it is larger than the sum of its proper divisors (693879049041).

1020002201001 is a wasteful number, since it uses less digits than its factorization.

1020002201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312930181 (or 2312930171 counting only the distinct ones).

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

Adding to 1020002201001 its reverse (1001022000201), we get a palindrome (2021024201202).

The spelling of 1020002201001 in words is "one trillion, twenty billion, two million, two hundred one thousand, one".