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122121202001 is a prime number
BaseRepresentation
bin111000110111011111…
…1011010100101010001
3102200012211120211121112
41301232333122211101
54000101011431001
6132033545103105
711552164042541
oct1615677324521
9380184524545
10122121202001
1147878264627
121b802187a95
13b6927b9796
145ca6d51321
15329b309cbb
hex1c6efda951

122121202001 has 2 divisors, whose sum is σ = 122121202002. Its totient is φ = 122121202000.

The previous prime is 122121201997. The next prime is 122121202033. The reversal of 122121202001 is 100202121221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114210878401 + 7910323600 = 337951^2 + 88940^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121202001 - 22 = 122121201997 is a prime.

It is not a weakly prime, because it can be changed into another prime (122121202501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060601000 + 61060601001.

It is an arithmetic number, because the mean of its divisors is an integer number (61060601001).

Almost surely, 2122121202001 is an apocalyptic number.

It is an amenable number.

122121202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121202001 is an equidigital number, since it uses as much as digits as its factorization.

122121202001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122121202001 its reverse (100202121221), we get a palindrome (222323323222).

The spelling of 122121202001 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred two thousand, one".