10120110020020 has 384 divisors, whose sum is σ = 28989218119680. Its totient is φ = 2865626449920.

The previous prime is 10120110019951. The next prime is 10120110020029. The reversal of 10120110020020 is 2002001102101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10120110019979 and 10120110020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120110020029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336100726 + ... + 336130834.

It is an arithmetic number, because the mean of its divisors is an integer number (75492755520).

Almost surely, 2^{10120110020020} is an apocalyptic number.

10120110020020 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 10120110020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14494609059840).

10120110020020 is an abundant number, since it is smaller than the sum of its proper divisors (18869108099660).

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

10120110020020 is a wasteful number, since it uses less digits than its factorization.

10120110020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30415 (or 30413 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10120110020020 its reverse (2002001102101), we get a palindrome (12122111122121).

The spelling of 10120110020020 in words is "ten trillion, one hundred twenty billion, one hundred ten million, twenty thousand, twenty".