122121202020001 has 2 divisors, whose sum is σ = 122121202020002. Its totient is φ = 122121202020000.

The previous prime is 122121202019969. The next prime is 122121202020023. The reversal of 122121202020001 is 100020202121221.

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., 73788117180001 + 48333084840000 = 8590001^2 + 6952200^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121202020001 - 2⁵ = 122121202019969 is a prime.

It is not a weakly prime, because it can be changed into another prime (122121202000001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060601010000 + 61060601010001.

It is an arithmetic number, because the mean of its divisors is an integer number (61060601010001).

Almost surely, 2^{122121202020001} is an apocalyptic number.

It is an amenable number.

122121202020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121202020001 is an equidigital number, since it uses as much as digits as its factorization.

122121202020001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122121202020001 its reverse (100020202121221), we get a palindrome (222141404141222).

The spelling of 122121202020001 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred two million, twenty thousand, one".