122201012022201 has 24 divisors (see below), whose sum is σ = 205534855805760. Its totient is φ = 68511618598176.

The previous prime is 122201012022149. The next prime is 122201012022253. The reversal of 122201012022201 is 102220210102221.

It is a happy number.

122201012022201 is a `hidden beast` number, since 12 + 220 + 10 + 1 + 202 + 220 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (122201012022149) and next prime (122201012022253).

It is not a de Polignac number, because 122201012022201 - 2⁶ = 122201012022137 is a prime.

It is a super-2 number, since 2×122201012022201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122201012022101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18299040091 + ... + 18299046768.

It is an arithmetic number, because the mean of its divisors is an integer number (8563952325240).

Almost surely, 2^{122201012022201} is an apocalyptic number.

It is an amenable number.

122201012022201 is a deficient number, since it is larger than the sum of its proper divisors (83333843783559).

122201012022201 is a wasteful number, since it uses less digits than its factorization.

122201012022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36598086925 (or 36598086922 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122201012022201 its reverse (102220210102221), we get a palindrome (224421222124422).

The spelling of 122201012022201 in words is "one hundred twenty-two trillion, two hundred one billion, twelve million, twenty-two thousand, two hundred one".