1000202102001 has 6 divisors (see below), whose sum is σ = 1444736369570. Its totient is φ = 666801401328.

The previous prime is 1000202101993. The next prime is 1000202102033. The reversal of 1000202102001 is 1002012020001.

It can be written as a sum of positive squares in only one way, i.e., 803172647601 + 197029454400 = 896199^2 + 443880^2 .

It is not a de Polignac number, because 1000202102001 - 2³ = 1000202101993 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: 111133566889 = 1000202102001 / (1 + 0 + 0 + 0 + 2 + 0 + 2 + 1 + 0 + 2 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000202102041) 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 5 ways as a sum of consecutive naturals, for example, 55566783436 + ... + 55566783453.

Almost surely, 2^{1000202102001} is an apocalyptic number.

It is an amenable number.

1000202102001 is a deficient number, since it is larger than the sum of its proper divisors (444534267569).

1000202102001 is a wasteful number, since it uses less digits than its factorization.

1000202102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111133566895 (or 111133566892 counting only the distinct ones).

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

Adding to 1000202102001 its reverse (1002012020001), we get a palindrome (2002214122002).

The spelling of 1000202102001 in words is "one trillion, two hundred two million, one hundred two thousand, one".