2010200021001 has 6 divisors (see below), whose sum is σ = 2903622252570. Its totient is φ = 1340133347328.

The previous prime is 2010200020993. The next prime is 2010200021017. The reversal of 2010200021001 is 1001200020102.

It can be written as a sum of positive squares in only one way, i.e., 1045866200976 + 964333820025 = 1022676^2 + 982005^2 .

It is not a de Polignac number, because 2010200021001 - 2³ = 2010200020993 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: 223355557889 = 2010200021001 / (2 + 0 + 1 + 0 + 2 + 0 + 0 + 0 + 2 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (2010200021051) 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 5 ways as a sum of consecutive naturals, for example, 111677778936 + ... + 111677778953.

It is an arithmetic number, because the mean of its divisors is an integer number (483937042095).

Almost surely, 2^{2010200021001} is an apocalyptic number.

It is an amenable number.

2010200021001 is a deficient number, since it is larger than the sum of its proper divisors (893422231569).

2010200021001 is a wasteful number, since it uses less digits than its factorization.

2010200021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223355557895 (or 223355557892 counting only the distinct ones).

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

Adding to 2010200021001 its reverse (1001200020102), we get a palindrome (3011400041103).

The spelling of 2010200021001 in words is "two trillion, ten billion, two hundred million, twenty-one thousand, one".