312122002020001 has 2 divisors, whose sum is σ = 312122002020002. Its totient is φ = 312122002020000.

The previous prime is 312122002019929. The next prime is 312122002020043. The reversal of 312122002020001 is 100020200221213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311369140379025 + 752861640976 = 17645655^2 + 867676^2 .

It is an emirp because it is prime and its reverse (100020200221213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312122002020001 - 2²⁵ = 312121968465569 is a prime.

It is not a weakly prime, because it can be changed into another prime (312122002020091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061001010000 + 156061001010001.

It is an arithmetic number, because the mean of its divisors is an integer number (156061001010001).

Almost surely, 2^{312122002020001} is an apocalyptic number.

It is an amenable number.

312122002020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312122002020001 is an equidigital number, since it uses as much as digits as its factorization.

312122002020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 312122002020001 its reverse (100020200221213), we get a palindrome (412142202241214).

The spelling of 312122002020001 in words is "three hundred twelve trillion, one hundred twenty-two billion, two million, twenty thousand, one".