102202202111300 has 18 divisors (see below), whose sum is σ = 221778778581738. Its totient is φ = 40880880844480.

The previous prime is 102202202111281. The next prime is 102202202111351. The reversal of 102202202111300 is 3111202202201.

It can be written as a sum of positive squares in 3 ways, for example, as 1297927018756 + 100904275092544 = 1139266^2 + 10045112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 511011010457 + ... + 511011010656.

It is an arithmetic number, because the mean of its divisors is an integer number (12321043254541).

Almost surely, 2^{102202202111300} is an apocalyptic number.

102202202111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202202111300 is an abundant number, since it is smaller than the sum of its proper divisors (119576576470438).

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

102202202111300 is a wasteful number, since it uses less digits than its factorization.

102202202111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022022021127 (or 1022022021120 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102202202111300 its reverse (3111202202201), we get a palindrome (105313404313501).

Subtracting from 102202202111300 its reverse (3111202202201), we obtain a palindrome (99090999909099).

The spelling of 102202202111300 in words is "one hundred two trillion, two hundred two billion, two hundred two million, one hundred eleven thousand, three hundred".