122010102202120 has 128 divisors (see below), whose sum is σ = 305178295213440. Its totient is φ = 43523286077440.

The previous prime is 122010102202117. The next prime is 122010102202211. The reversal of 122010102202120 is 21202201010221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122010102202094 and 122010102202103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147740187 + ... + 148563733.

It is an arithmetic number, because the mean of its divisors is an integer number (2384205431355).

Almost surely, 2^{122010102202120} is an apocalyptic number.

122010102202120 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 122010102202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152589147606720).

122010102202120 is an abundant number, since it is smaller than the sum of its proper divisors (183168193011320).

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

122010102202120 is a wasteful number, since it uses less digits than its factorization.

122010102202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829975 (or 829971 counting only the distinct ones).

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

Adding to 122010102202120 its reverse (21202201010221), we get a palindrome (143212303212341).

The spelling of 122010102202120 in words is "one hundred twenty-two trillion, ten billion, one hundred two million, two hundred two thousand, one hundred twenty".