201001202112001 has 2 divisors, whose sum is σ = 201001202112002. Its totient is φ = 201001202112000.

The previous prime is 201001202111953. The next prime is 201001202112031. The reversal of 201001202112001 is 100211202100102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115116054516225 + 85885147595776 = 10729215^2 + 9267424^2 .

It is a cyclic number.

It is not a de Polignac number, because 201001202112001 - 2¹³ = 201001202103809 is a prime.

It is not a weakly prime, because it can be changed into another prime (201001202112031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500601056000 + 100500601056001.

It is an arithmetic number, because the mean of its divisors is an integer number (100500601056001).

Almost surely, 2^{201001202112001} is an apocalyptic number.

It is an amenable number.

201001202112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201001202112001 is an equidigital number, since it uses as much as digits as its factorization.

201001202112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201001202112001 its reverse (100211202100102), we get a palindrome (301212404212103).

The spelling of 201001202112001 in words is "two hundred one trillion, one billion, two hundred two million, one hundred twelve thousand, one".