102000213323112 has 256 divisors, whose sum is σ = 281241162720000. Its totient is φ = 30635165933568.

The previous prime is 102000213322993. The next prime is 102000213323117. The reversal of 102000213323112 is 211323312000201.

It is a super-2 number, since 2×102000213323112² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102000213323117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12389187348 + ... + 12389195580.

It is an arithmetic number, because the mean of its divisors is an integer number (1098598291875).

Almost surely, 2^{102000213323112} is an apocalyptic number.

102000213323112 is a gapful number since it is divisible by the number (12) 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 102000213323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140620581360000).

102000213323112 is an abundant number, since it is smaller than the sum of its proper divisors (179240949396888).

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

102000213323112 is a wasteful number, since it uses less digits than its factorization.

102000213323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12980 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102000213323112 its reverse (211323312000201), we get a palindrome (313323525323313).

The spelling of 102000213323112 in words is "one hundred two trillion, two hundred thirteen million, three hundred twenty-three thousand, one hundred twelve".