102966002100 has 216 divisors, whose sum is σ = 362680036992. Its totient is φ = 24243436800.

The previous prime is 102966002093. The next prime is 102966002107. The reversal of 102966002100 is 1200669201.

102966002100 is a `hidden beast` number, since 10 + 29 + 6 + 600 + 21 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102966002093) and next prime (102966002107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102966002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77785 + ... + 460415.

Almost surely, 2^102966002100 is an apocalyptic number.

102966002100 is a gapful number since it is divisible by the number (10) 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 102966002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181340018496).

102966002100 is an abundant number, since it is smaller than the sum of its proper divisors (259714034892).

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

102966002100 is a wasteful number, since it uses less digits than its factorization.

102966002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382687 (or 382677 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 102966002100 in words is "one hundred two billion, nine hundred sixty-six million, two thousand, one hundred".