102100100200 has 96 divisors (see below), whose sum is σ = 272077675200. Its totient is φ = 34904701440.

The previous prime is 102100100197. The next prime is 102100100213. The reversal of 102100100200 is 2001001201.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 380716 + ... + 590884.

It is an arithmetic number, because the mean of its divisors is an integer number (2834142450).

Almost surely, 2^102100100200 is an apocalyptic number.

102100100200 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 102100100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136038837600).

102100100200 is an abundant number, since it is smaller than the sum of its proper divisors (169977575000).

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

102100100200 is a wasteful number, since it uses less digits than its factorization.

102100100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210539 (or 210530 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 102100100200 its reverse (2001001201), we get a palindrome (104101101401).

The spelling of 102100100200 in words is "one hundred two billion, one hundred million, one hundred thousand, two hundred".