122301020001001 has 2 divisors, whose sum is σ = 122301020001002. Its totient is φ = 122301020001000.

The previous prime is 122301020000927. The next prime is 122301020001019. The reversal of 122301020001001 is 100100020103221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80456953248400 + 41844066752601 = 8969780^2 + 6468699^2 .

It is a cyclic number.

It is not a de Polignac number, because 122301020001001 - 2¹¹ = 122301019998953 is a prime.

It is not a weakly prime, because it can be changed into another prime (122301020001031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61150510000500 + 61150510000501.

It is an arithmetic number, because the mean of its divisors is an integer number (61150510000501).

Almost surely, 2^{122301020001001} is an apocalyptic number.

It is an amenable number.

122301020001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122301020001001 is an equidigital number, since it uses as much as digits as its factorization.

122301020001001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122301020001001 its reverse (100100020103221), we get a palindrome (222401040104222).

The spelling of 122301020001001 in words is "one hundred twenty-two trillion, three hundred one billion, twenty million, one thousand, one".