122101120121020 has 48 divisors (see below), whose sum is σ = 256984057628928. Its totient is φ = 48731645329920.

The previous prime is 122101120121003. The next prime is 122101120121027. The reversal of 122101120121020 is 20121021101221.

It is a junction number, because it is equal to n+sod(n) for n = 122101120120985 and 122101120121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101120121027) 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, 17970874 + ... + 23815006.

It is an arithmetic number, because the mean of its divisors is an integer number (5353834533936).

Almost surely, 2^{122101120121020} is an apocalyptic number.

122101120121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101120121020 is an abundant number, since it is smaller than the sum of its proper divisors (134882937507908).

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

122101120121020 is a wasteful number, since it uses less digits than its factorization.

122101120121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846470 (or 5846468 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122101120121020 its reverse (20121021101221), we get a palindrome (142222141222241).

The spelling of 122101120121020 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty million, one hundred twenty-one thousand, twenty".