122122300121001 has 12 divisors (see below), whose sum is σ = 181166415195012. Its totient is φ = 79214464943136.

The previous prime is 122122300120993. The next prime is 122122300121009. The reversal of 122122300121001 is 100121003221221.

122122300121001 is a `hidden beast` number, since 1 + 221 + 2 + 230 + 0 + 1 + 210 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (122122300120993) and next prime (122122300121009).

It can be written as a sum of positive squares in 2 ways, for example, as 104250205669401 + 17872094451600 = 10210299^2 + 4227540^2 .

It is not a de Polignac number, because 122122300121001 - 2³ = 122122300120993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122122300121009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183366816666 + ... + 183366817331.

It is an arithmetic number, because the mean of its divisors is an integer number (15097201266251).

Almost surely, 2^{122122300121001} is an apocalyptic number.

It is an amenable number.

122122300121001 is a deficient number, since it is larger than the sum of its proper divisors (59044115074011).

122122300121001 is a wasteful number, since it uses less digits than its factorization.

122122300121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366733634040 (or 366733634037 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122122300121001 its reverse (100121003221221), we get a palindrome (222243303342222).

The spelling of 122122300121001 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, three hundred million, one hundred twenty-one thousand, one".