2012102000 has 80 divisors (see below), whose sum is σ = 4877125344. Its totient is φ = 802880000.

The previous prime is 2012101981. The next prime is 2012102003. The reversal of 2012102000 is 2012102.

It is a tau number, because it is divible by the number of its divisors (80).

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 (2012102003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041035 + ... + 1042965.

Almost surely, 2^2012102000 is an apocalyptic number.

2012102000 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 2012102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438562672).

2012102000 is an abundant number, since it is smaller than the sum of its proper divisors (2865023344).

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

2012102000 is a wasteful number, since it uses less digits than its factorization.

2012102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2459 counting only the distinct ones).

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

The square root of 2012102000 is about 44856.4599584051. The cubic root of 2012102000 is about 1262.4572020913.

Adding to 2012102000 its reverse (2012102), we get a palindrome (2014114102).

2012102000 divided by its reverse (2012102) gives a cube (1000 = 10³).

The spelling of 2012102000 in words is "two billion, twelve million, one hundred two thousand".