122102021121201 has 80 divisors (see below), whose sum is σ = 199359479635008. Its totient is φ = 73860553728000.

The previous prime is 122102021121193. The next prime is 122102021121247. The reversal of 122102021121201 is 102121120201221.

122102021121201 is a `hidden beast` number, since 1 + 2 + 210 + 20 + 211 + 21 + 201 = 666.

It is not a de Polignac number, because 122102021121201 - 2³ = 122102021121193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122102021121281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2464840305 + ... + 2464889841.

Almost surely, 2^{122102021121201} is an apocalyptic number.

122102021121201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122102021121201 is a deficient number, since it is larger than the sum of its proper divisors (77257458513807).

122102021121201 is a wasteful number, since it uses less digits than its factorization.

122102021121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54764 (or 54755 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122102021121201 its reverse (102121120201221), we get a palindrome (224223141322422).

The spelling of 122102021121201 in words is "one hundred twenty-two trillion, one hundred two billion, twenty-one million, one hundred twenty-one thousand, two hundred one".