102100012200 has 288 divisors, whose sum is σ = 351992080440. Its totient is φ = 26506444800.

The previous prime is 102100012199. The next prime is 102100012219. The reversal of 102100012200 is 2210001201.

It can be written as a sum of positive squares in 12 ways, for example, as 291794724 + 101808217476 = 17082^2 + 319074^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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, 43762234 + ... + 43764566.

Almost surely, 2^102100012200 is an apocalyptic number.

102100012200 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 102100012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175996040220).

102100012200 is an abundant number, since it is smaller than the sum of its proper divisors (249892068240).

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

102100012200 is a wasteful number, since it uses less digits than its factorization.

102100012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102100012200 its reverse (2210001201), we get a palindrome (104310013401).

The spelling of 102100012200 in words is "one hundred two billion, one hundred million, twelve thousand, two hundred".