20121010122001 has 2 divisors, whose sum is σ = 20121010122002. Its totient is φ = 20121010122000.

The previous prime is 20121010121987. The next prime is 20121010122043. The reversal of 20121010122001 is 10022101012102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12631264294401 + 7489745827600 = 3554049^2 + 2736740^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121010122001 - 2⁵ = 20121010121969 is a prime.

It is not a weakly prime, because it can be changed into another prime (20121010122401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060505061000 + 10060505061001.

It is an arithmetic number, because the mean of its divisors is an integer number (10060505061001).

Almost surely, 2^{20121010122001} is an apocalyptic number.

It is an amenable number.

20121010122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121010122001 is an equidigital number, since it uses as much as digits as its factorization.

20121010122001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 20121010122001 its reverse (10022101012102), we get a palindrome (30143111134103).

It can be divided in two parts, 201210101 and 22001, that added together give a palindrome (201232102).

The spelling of 20121010122001 in words is "twenty trillion, one hundred twenty-one billion, ten million, one hundred twenty-two thousand, one".