122102200100001 has 32 divisors (see below), whose sum is σ = 177654049966080. Its totient is φ = 73980149184000.

The previous prime is 122102200099973. The next prime is 122102200100017. The reversal of 122102200100001 is 100001002201221.

It is not a de Polignac number, because 122102200100001 - 2¹¹ = 122102200097953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122102200100001.

It is not an unprimeable number, because it can be changed into a prime (122102200100021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1879880076 + ... + 1879945026.

It is an arithmetic number, because the mean of its divisors is an integer number (5551689061440).

Almost surely, 2^{122102200100001} is an apocalyptic number.

122102200100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122102200100001 is a deficient number, since it is larger than the sum of its proper divisors (55551849866079).

122102200100001 is a wasteful number, since it uses less digits than its factorization.

122102200100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80397.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122102200100001 its reverse (100001002201221), we get a palindrome (222103202301222).

The spelling of 122102200100001 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred million, one hundred thousand, one".