1000202201001 has 40 divisors (see below), whose sum is σ = 1553497573320. Its totient is φ = 640539954432.

The previous prime is 1000202200993. The next prime is 1000202201017. The reversal of 1000202201001 is 1001022020001.

1000202201001 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 714741739776 + 285460461225 = 845424^2 + 534285^2 .

It is not a de Polignac number, because 1000202201001 - 2³ = 1000202200993 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 (1000202201101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 617956 + ... + 1543461.

It is an arithmetic number, because the mean of its divisors is an integer number (38837439333).

Almost surely, 2^{1000202201001} is an apocalyptic number.

It is an amenable number.

1000202201001 is a deficient number, since it is larger than the sum of its proper divisors (553295372319).

1000202201001 is a wasteful number, since it uses less digits than its factorization.

1000202201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161655 (or 2161646 counting only the distinct ones).

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

Adding to 1000202201001 its reverse (1001022020001), we get a palindrome (2001224221002).

The spelling of 1000202201001 in words is "one trillion, two hundred two million, two hundred one thousand, one".