102120122120020 has 192 divisors, whose sum is σ = 237269574077760. Its totient is φ = 36744744960000.

The previous prime is 102120122119997. The next prime is 102120122120021. The reversal of 102120122120020 is 20021221021201.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 1274582292676 + 100845539827344 = 1128974^2 + 10042188^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102120122119976 and 102120122120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120122120021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9860004682 + ... + 9860015038.

It is an arithmetic number, because the mean of its divisors is an integer number (1235779031655).

Almost surely, 2^{102120122120020} is an apocalyptic number.

102120122120020 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 102120122120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118634787038880).

102120122120020 is an abundant number, since it is smaller than the sum of its proper divisors (135149451957740).

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

102120122120020 is a wasteful number, since it uses less digits than its factorization.

102120122120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20414 (or 20412 counting only the distinct ones).

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

Adding to 102120122120020 its reverse (20021221021201), we get a palindrome (122141343141221).

The spelling of 102120122120020 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand, twenty".