102223101210120 has 256 divisors, whose sum is σ = 372431137075200. Its totient is φ = 24733973272320.

The previous prime is 102223101210053. The next prime is 102223101210143. The reversal of 102223101210120 is 21012101322201.

102223101210120 is a `hidden beast` number, since 1 + 0 + 2 + 22 + 310 + 1 + 210 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102223101210093 and 102223101210102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2012992 + ... + 14439471.

It is an arithmetic number, because the mean of its divisors is an integer number (1454809129200).

Almost surely, 2^{102223101210120} is an apocalyptic number.

102223101210120 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 102223101210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186215568537600).

102223101210120 is an abundant number, since it is smaller than the sum of its proper divisors (270208035865080).

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

102223101210120 is a wasteful number, since it uses less digits than its factorization.

102223101210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16453017 (or 16453007 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102223101210120 its reverse (21012101322201), we get a palindrome (123235202532321).

The spelling of 102223101210120 in words is "one hundred two trillion, two hundred twenty-three billion, one hundred one million, two hundred ten thousand, one hundred twenty".