2012102112020 has 192 divisors, whose sum is σ = 5675470004736. Its totient is φ = 578683422720.

The previous prime is 2012102111969. The next prime is 2012102112049. The reversal of 2012102112020 is 202112012102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2012102111986 and 2012102112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55977974 + ... + 56013906.

It is an arithmetic number, because the mean of its divisors is an integer number (29559739608).

Almost surely, 2^{2012102112020} is an apocalyptic number.

2012102112020 is a gapful number since it is divisible by the number (20) 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 2012102112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837735002368).

2012102112020 is an abundant number, since it is smaller than the sum of its proper divisors (3663367892716).

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

2012102112020 is a wasteful number, since it uses less digits than its factorization.

2012102112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38770 (or 38768 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2012102112020 its reverse (202112012102), we get a palindrome (2214214124122).

The spelling of 2012102112020 in words is "two trillion, twelve billion, one hundred two million, one hundred twelve thousand, twenty".