2100066102 has 80 divisors (see below), whose sum is σ = 4802490000. Its totient is φ = 685780992.

The previous prime is 2100066097. The next prime is 2100066103. The reversal of 2100066102 is 2016600012.

It is a happy number.

2100066102 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 0 + 661 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100066103) 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 39 ways as a sum of consecutive naturals, for example, 1680774 + ... + 1682022.

It is an arithmetic number, because the mean of its divisors is an integer number (60031125).

Almost surely, 2^2100066102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100066102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401245000).

2100066102 is an abundant number, since it is smaller than the sum of its proper divisors (2702423898).

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

2100066102 is a wasteful number, since it uses less digits than its factorization.

2100066102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2100066102 is about 45826.4781758319. The cubic root of 2100066102 is about 1280.5926011710.

Adding to 2100066102 its reverse (2016600012), we get a palindrome (4116666114).

The spelling of 2100066102 in words is "two billion, one hundred million, sixty-six thousand, one hundred two".