2102012000000 has 756 divisors, whose sum is σ = 5957305464264. Its totient is φ = 739200000000.

The previous prime is 2102011999991. The next prime is 2102012000009. The reversal of 2102012000000 is 2102012.

It is an interprime number because it is at equal distance from previous prime (2102011999991) and next prime (2102012000009).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102012000009) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 20811999950 + ... + 20812000050.

Almost surely, 2^{2102012000000} is an apocalyptic number.

2102012000000 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 2102012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978652732132).

2102012000000 is an abundant number, since it is smaller than the sum of its proper divisors (3855293464264).

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

2102012000000 is an frugal number, since it uses more digits than its factorization.

2102012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 162 counting only the distinct ones).

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

Adding to 2102012000000 its reverse (2102012), we get a palindrome (2102014102012).

2102012000000 divided by its reverse (2102012) gives a 6-th power (1000000 = 10⁶).

The spelling of 2102012000000 in words is "two trillion, one hundred two billion, twelve million", and thus it is an aban number.