201000202101001 has 8 divisors (see below), whose sum is σ = 202991191868808. Its totient is φ = 199009229760000.

The previous prime is 201000202100989. The next prime is 201000202101007. The reversal of 201000202101001 is 100101202000102.

It can be written as a sum of positive squares in 4 ways, for example, as 122851154462976 + 78149047638025 = 11083824^2 + 8840195^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201000202101001 - 2¹⁵ = 201000202068233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201000202101007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19467531 + ... + 27946111.

It is an arithmetic number, because the mean of its divisors is an integer number (25373898983601).

Almost surely, 2^{201000202101001} is an apocalyptic number.

It is an amenable number.

201000202101001 is a deficient number, since it is larger than the sum of its proper divisors (1990989767807).

201000202101001 is a wasteful number, since it uses less digits than its factorization.

201000202101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713403.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201000202101001 its reverse (100101202000102), we get a palindrome (301101404101103).

The spelling of 201000202101001 in words is "two hundred one trillion, two hundred two million, one hundred one thousand, one".