10020001012120 has 192 divisors, whose sum is σ = 25764275880000. Its totient is φ = 3500305966080.

The previous prime is 10020001012081. The next prime is 10020001012121. The reversal of 10020001012120 is 2121010002001.

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 = 10020001012097 and 10020001012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020001012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27752274 + ... + 28111006.

It is an arithmetic number, because the mean of its divisors is an integer number (134188936875).

Almost surely, 2^{10020001012120} is an apocalyptic number.

10020001012120 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 10020001012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12882137940000).

10020001012120 is an abundant number, since it is smaller than the sum of its proper divisors (15744274867880).

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

10020001012120 is a wasteful number, since it uses less digits than its factorization.

10020001012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358994 (or 358979 counting only the distinct ones).

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

Adding to 10020001012120 its reverse (2121010002001), we get a palindrome (12141011014121).

The spelling of 10020001012120 in words is "ten trillion, twenty billion, one million, twelve thousand, one hundred twenty".