122101000000000 has 400 divisors, whose sum is σ = 348539261184576. Its totient is φ = 41860800000000.

The previous prime is 122100999999961. The next prime is 122101000000013. The reversal of 122101000000000 is 101221.

122101000000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a self number, because there is not a number n which added to its sum of digits gives 122101000000000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6999991279 + ... + 7000008721.

Almost surely, 2^{122101000000000} is an apocalyptic number.

122101000000000 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 122101000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174269630592288).

122101000000000 is an abundant number, since it is smaller than the sum of its proper divisors (226438261184576).

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

122101000000000 is an frugal number, since it uses more digits than its factorization.

122101000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17513 (or 17457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 122101000000000 its reverse (101221), we get a palindrome (122101000101221).

The spelling of 122101000000000 in words is "one hundred twenty-two trillion, one hundred one billion", and thus it is an aban number.