102013302222100 has 36 divisors (see below), whose sum is σ = 223856156468700. Its totient is φ = 40346834133760.

The previous prime is 102013302222019. The next prime is 102013302222113. The reversal of 102013302222100 is 1222203310201.

It can be written as a sum of positive squares in 6 ways, for example, as 3816974949264 + 98196327272836 = 1953708^2 + 9909406^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5731075495 + ... + 5731093294.

It is an arithmetic number, because the mean of its divisors is an integer number (6218226568575).

Almost surely, 2^{102013302222100} is an apocalyptic number.

102013302222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013302222100 is an abundant number, since it is smaller than the sum of its proper divisors (121842854246600).

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

102013302222100 is a wasteful number, since it uses less digits than its factorization.

102013302222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11462168892 (or 11462168885 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102013302222100 its reverse (1222203310201), we get a palindrome (103235505532301).

The spelling of 102013302222100 in words is "one hundred two trillion, thirteen billion, three hundred two million, two hundred twenty-two thousand, one hundred".