122102122100020 has 48 divisors (see below), whose sum is σ = 259498255564800. Its totient is φ = 48254316675840.

The previous prime is 122102122099981. The next prime is 122102122100027. The reversal of 122102122100020 is 20001221201221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122102122099967 and 122102122100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102122100027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24539916 + ... + 29093155.

It is an arithmetic number, because the mean of its divisors is an integer number (5406213657600).

Almost surely, 2^{122102122100020} is an apocalyptic number.

122102122100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102122100020 is an abundant number, since it is smaller than the sum of its proper divisors (137396133464780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122102122100020 is a wasteful number, since it uses less digits than its factorization.

122102122100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53634448 (or 53634446 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122102122100020 its reverse (20001221201221), we get a palindrome (142103343301241).

The spelling of 122102122100020 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twenty-two million, one hundred thousand, twenty".