10122010020120 has 384 divisors, whose sum is σ = 33345828964800. Its totient is φ = 2454637989888.

The previous prime is 10122010020079. The next prime is 10122010020121. The reversal of 10122010020120 is 2102001022101.

10122010020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10122010020096 and 10122010020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122010020121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217313154 + ... + 217359726.

Almost surely, 2^{10122010020120} is an apocalyptic number.

10122010020120 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 10122010020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16672914482400).

10122010020120 is an abundant number, since it is smaller than the sum of its proper divisors (23223818944680).

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

10122010020120 is a wasteful number, since it uses less digits than its factorization.

10122010020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46827 (or 46804 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10122010020120 its reverse (2102001022101), we get a palindrome (12224011042221).

The spelling of 10122010020120 in words is "ten trillion, one hundred twenty-two billion, ten million, twenty thousand, one hundred twenty".