102226034311300 has 72 divisors (see below), whose sum is σ = 222040294261632. Its totient is φ = 40851749904000.

The previous prime is 102226034311253. The next prime is 102226034311309. The reversal of 102226034311300 is 3113430622201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102226034311309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996196995 + ... + 996299605.

It is an arithmetic number, because the mean of its divisors is an integer number (3083892975856).

Almost surely, 2^{102226034311300} is an apocalyptic number.

102226034311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102226034311300 is an abundant number, since it is smaller than the sum of its proper divisors (119814259950332).

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

102226034311300 is a wasteful number, since it uses less digits than its factorization.

102226034311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111949 (or 111942 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 102226034311300 its reverse (3113430622201), we get a palindrome (105339464933501).

The spelling of 102226034311300 in words is "one hundred two trillion, two hundred twenty-six billion, thirty-four million, three hundred eleven thousand, three hundred".