201000101112001 has 2 divisors, whose sum is σ = 201000101112002. Its totient is φ = 201000101112000.

The previous prime is 201000101111977. The next prime is 201000101112059. The reversal of 201000101112001 is 100211101000102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139108461080625 + 61891640031376 = 11794425^2 + 7867124^2 .

It is a cyclic number.

It is not a de Polignac number, because 201000101112001 - 2²¹ = 201000099014849 is a prime.

It is not a weakly prime, because it can be changed into another prime (201000101112101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500050556000 + 100500050556001.

It is an arithmetic number, because the mean of its divisors is an integer number (100500050556001).

Almost surely, 2^{201000101112001} is an apocalyptic number.

It is an amenable number.

201000101112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201000101112001 is an equidigital number, since it uses as much as digits as its factorization.

201000101112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201000101112001 its reverse (100211101000102), we get a palindrome (301211202112103).

The spelling of 201000101112001 in words is "two hundred one trillion, one hundred one million, one hundred twelve thousand, one".