122120101102120 has 64 divisors (see below), whose sum is σ = 300176942307840. Its totient is φ = 44343960864000.

The previous prime is 122120101102093. The next prime is 122120101102141. The reversal of 122120101102120 is 21201101021221.

It is a junction number, because it is equal to n+sod(n) for n = 122120101102094 and 122120101102103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197655672 + ... + 198272551.

It is an arithmetic number, because the mean of its divisors is an integer number (4690264723560).

Almost surely, 2^{122120101102120} is an apocalyptic number.

122120101102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120101102120 is an abundant number, since it is smaller than the sum of its proper divisors (178056841205720).

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

122120101102120 is a wasteful number, since it uses less digits than its factorization.

122120101102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395928946 (or 395928942 counting only the distinct ones).

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

Adding to 122120101102120 its reverse (21201101021221), we get a palindrome (143321202123341).

It can be divided in two parts, 122120101 and 102120, that added together give a palindrome (122222221).

The spelling of 122120101102120 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred one million, one hundred two thousand, one hundred twenty".