2112131002020 has 576 divisors, whose sum is σ = 6924926131200. Its totient is φ = 479259555840.

The previous prime is 2112131002019. The next prime is 2112131002021. The reversal of 2112131002020 is 202001312112.

It is an interprime number because it is at equal distance from previous prime (2112131002019) and next prime (2112131002021).

It is a super-2 number, since 2×2112131002020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2112131002021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1337637591 + ... + 1337639169.

It is an arithmetic number, because the mean of its divisors is an integer number (12022441200).

Almost surely, 2^{2112131002020} is an apocalyptic number.

2112131002020 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 2112131002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462463065600).

2112131002020 is an abundant number, since it is smaller than the sum of its proper divisors (4812795129180).

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

2112131002020 is a wasteful number, since it uses less digits than its factorization.

2112131002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2112131002020 its reverse (202001312112), we get a palindrome (2314132314132).

The spelling of 2112131002020 in words is "two trillion, one hundred twelve billion, one hundred thirty-one million, two thousand, twenty".