102112223303300 has 144 divisors (see below), whose sum is σ = 254553545030400. Its totient is φ = 34828117578240.

The previous prime is 102112223303291. The next prime is 102112223303357. The reversal of 102112223303300 is 3303322211201.

It is a super-2 number, since 2×102112223303300² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1326973226 + ... + 1327050174.

It is an arithmetic number, because the mean of its divisors is an integer number (1767732951600).

Almost surely, 2^{102112223303300} is an apocalyptic number.

102112223303300 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 102112223303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127276772515200).

102112223303300 is an abundant number, since it is smaller than the sum of its proper divisors (152441321727100).

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

102112223303300 is a wasteful number, since it uses less digits than its factorization.

102112223303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86790 (or 86783 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 102112223303300 its reverse (3303322211201), we get a palindrome (105415545514501).

The spelling of 102112223303300 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty-three million, three hundred three thousand, three hundred".