102301312100 has 36 divisors (see below), whose sum is σ = 239070300084. Its totient is φ = 37772791680.

The previous prime is 102301312049. The next prime is 102301312109. The reversal of 102301312100 is 1213103201.

It can be written as a sum of positive squares in 6 ways, for example, as 11285662756 + 91015649344 = 106234^2 + 301688^2 .

It is not an unprimeable number, because it can be changed into a prime (102301312109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39345359 + ... + 39347958.

It is an arithmetic number, because the mean of its divisors is an integer number (6640841669).

Almost surely, 2^102301312100 is an apocalyptic number.

102301312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102301312100 is an abundant number, since it is smaller than the sum of its proper divisors (136768987984).

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

102301312100 is a wasteful number, since it uses less digits than its factorization.

102301312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78693344 (or 78693337 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102301312100 its reverse (1213103201), we get a palindrome (103514415301).

The spelling of 102301312100 in words is "one hundred two billion, three hundred one million, three hundred twelve thousand, one hundred".