2102012000 has 288 divisors, whose sum is σ = 5866372512. Its totient is φ = 739200000.

The previous prime is 2102011981. The next prime is 2102012027. The reversal of 2102012000 is 2102012.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20811950 + ... + 20812050.

It is an arithmetic number, because the mean of its divisors is an integer number (20369349).

Almost surely, 2^2102012000 is an apocalyptic number.

2102012000 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 2102012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933186256).

2102012000 is an abundant number, since it is smaller than the sum of its proper divisors (3764360512).

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

2102012000 is a wasteful number, since it uses less digits than its factorization.

2102012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 162 counting only the distinct ones).

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

The square root of 2102012000 is about 45847.7044136345. The cubic root of 2102012000 is about 1280.9880067122.

Adding to 2102012000 its reverse (2102012), we get a palindrome (2104114012).

2102012000 divided by its reverse (2102012) gives a cube (1000 = 10³).

The spelling of 2102012000 in words is "two billion, one hundred two million, twelve thousand".