122102111012200 has 192 divisors, whose sum is σ = 312853023000000. Its totient is φ = 43948312320000.

The previous prime is 122102111012179. The next prime is 122102111012227. The reversal of 122102111012200 is 2210111201221.

It is a super-2 number, since 2×122102111012200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777399276 + ... + 777556324.

It is an arithmetic number, because the mean of its divisors is an integer number (1629442828125).

Almost surely, 2^{122102111012200} is an apocalyptic number.

122102111012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102111012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156426511500000).

122102111012200 is an abundant number, since it is smaller than the sum of its proper divisors (190750911987800).

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

122102111012200 is a wasteful number, since it uses less digits than its factorization.

122102111012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160676 (or 160667 counting only the distinct ones).

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

Adding to 122102111012200 its reverse (2210111201221), we get a palindrome (124312222213421).

It can be divided in two parts, 1221021 and 11012200, that added together give a palindrome (12233221).

The spelling of 122102111012200 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred eleven million, twelve thousand, two hundred".