20120020101001 has 2 divisors, whose sum is σ = 20120020101002. Its totient is φ = 20120020101000.

The previous prime is 20120020100993. The next prime is 20120020101017. The reversal of 20120020101001 is 10010102002102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19996995240000 + 123024861001 = 4471800^2 + 350749^2 .

It is a cyclic number.

It is not a de Polignac number, because 20120020101001 - 2³ = 20120020100993 is a prime.

It is not a weakly prime, because it can be changed into another prime (20120020101031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060010050500 + 10060010050501.

It is an arithmetic number, because the mean of its divisors is an integer number (10060010050501).

Almost surely, 2^{20120020101001} is an apocalyptic number.

It is an amenable number.

20120020101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20120020101001 is an equidigital number, since it uses as much as digits as its factorization.

20120020101001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 20120020101001 its reverse (10010102002102), we get a palindrome (30130122103103).

The spelling of 20120020101001 in words is "twenty trillion, one hundred twenty billion, twenty million, one hundred one thousand, one".