2112102101020 has 24 divisors (see below), whose sum is σ = 4696321143024. Its totient is φ = 795144320256.

The previous prime is 2112102100993. The next prime is 2112102101029. The reversal of 2112102101020 is 201012012112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112102101029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3106032162 + ... + 3106032841.

It is an arithmetic number, because the mean of its divisors is an integer number (195680047626).

Almost surely, 2^{2112102101020} is an apocalyptic number.

2112102101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112102101020 is an abundant number, since it is smaller than the sum of its proper divisors (2584219042004).

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

2112102101020 is a wasteful number, since it uses less digits than its factorization.

2112102101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212065029 (or 6212065027 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2112102101020 its reverse (201012012112), we get a palindrome (2313114113132).

It can be divided in two parts, 2112102 and 101020, that added together give a palindrome (2213122).

The spelling of 2112102101020 in words is "two trillion, one hundred twelve billion, one hundred two million, one hundred one thousand, twenty".