10000201100001 has 64 divisors (see below), whose sum is σ = 15407508357120. Its totient is φ = 5651350689600.

The previous prime is 10000201099961. The next prime is 10000201100003. The reversal of 10000201100001 is 10000110200001.

It is not a de Polignac number, because 10000201100001 - 2¹⁷ = 10000200968929 is a prime.

It is a super-3 number, since 3×10000201100001³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10000201100003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1817224416 + ... + 1817229918.

It is an arithmetic number, because the mean of its divisors is an integer number (240742318080).

Almost surely, 2^{10000201100001} is an apocalyptic number.

It is an amenable number.

10000201100001 is a deficient number, since it is larger than the sum of its proper divisors (5407307257119).

10000201100001 is a wasteful number, since it uses less digits than its factorization.

10000201100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000201100001 its reverse (10000110200001), we get a palindrome (20000311300002).

The spelling of 10000201100001 in words is "ten trillion, two hundred one million, one hundred thousand, one".