102213113320120 has 192 divisors, whose sum is σ = 253161449352000. Its totient is φ = 37113450823680.

The previous prime is 102213113320049. The next prime is 102213113320133. The reversal of 102213113320120 is 21023311312201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102213113320091 and 102213113320100.

It is a congruent number.

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, 10181598061 + ... + 10181608099.

It is an arithmetic number, because the mean of its divisors is an integer number (1318549215375).

Almost surely, 2^{102213113320120} is an apocalyptic number.

102213113320120 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 102213113320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126580724676000).

102213113320120 is an abundant number, since it is smaller than the sum of its proper divisors (150948336031880).

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

102213113320120 is a wasteful number, since it uses less digits than its factorization.

102213113320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12974 (or 12959 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 102213113320120 its reverse (21023311312201), we get a palindrome (123236424632321).

The spelling of 102213113320120 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirteen million, three hundred twenty thousand, one hundred twenty".