1000200020001 has 128 divisors (see below), whose sum is σ = 1721453669376. Its totient is φ = 502541107200.

The previous prime is 1000200019997. The next prime is 1000200020009.

It is a happy number.

1000200020001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1000200020001 - 2² = 1000200019997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000200020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101015151 + ... + 101025051.

It is an arithmetic number, because the mean of its divisors is an integer number (13448856792).

Almost surely, 2^{1000200020001} is an apocalyptic number.

It is an amenable number.

1000200020001 is a deficient number, since it is larger than the sum of its proper divisors (721253649375).

1000200020001 is a wasteful number, since it uses less digits than its factorization.

1000200020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10171.

The product of its (nonzero) digits is 4, while the sum is 6.

It can be divided in two parts, 10002000 and 20001, that added together give a palindrome (10022001).

The spelling of 1000200020001 in words is "one trillion, two hundred million, twenty thousand, one".