10012120020 has 216 divisors, whose sum is σ = 36637814304. Its totient is φ = 2288430144.

The previous prime is 10012119989. The next prime is 10012120021. The reversal of 10012120020 is 2002121001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10012119984 and 10012120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012120021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 217119 + ... + 259161.

Almost surely, 2^10012120020 is an apocalyptic number.

10012120020 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 10012120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18318907152).

10012120020 is an abundant number, since it is smaller than the sum of its proper divisors (26625694284).

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

10012120020 is a wasteful number, since it uses less digits than its factorization.

10012120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42081 (or 42060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10012120020 its reverse (2002121001), we get a palindrome (12014241021).

The spelling of 10012120020 in words is "ten billion, twelve million, one hundred twenty thousand, twenty".