2010102000 has 320 divisors, whose sum is σ = 6818992128. Its totient is φ = 508800000.

The previous prime is 2010101987. The next prime is 2010102001. The reversal of 2010102000 is 2010102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2010102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010102001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18785947 + ... + 18786053.

Almost surely, 2^2010102000 is an apocalyptic number.

2010102000 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 2010102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409496064).

2010102000 is an abundant number, since it is smaller than the sum of its proper divisors (4808890128).

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

2010102000 is a wasteful number, since it uses less digits than its factorization.

2010102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2010102000 is about 44834.1610828172. The cubic root of 2010102000 is about 1262.0387754174.

Adding to 2010102000 its reverse (2010102), we get a palindrome (2012112102).

2010102000 divided by its reverse (2010102) gives a cube (1000 = 10³).

The spelling of 2010102000 in words is "two billion, ten million, one hundred two thousand".