102223033032120 has 512 divisors, whose sum is σ = 411960536064000. Its totient is φ = 19597261916160.

The previous prime is 102223033032089. The next prime is 102223033032137. The reversal of 102223033032120 is 21230330322201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 237502471 + ... + 237932489.

It is an arithmetic number, because the mean of its divisors is an integer number (804610422000).

Almost surely, 2^{102223033032120} is an apocalyptic number.

102223033032120 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 102223033032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205980268032000).

102223033032120 is an abundant number, since it is smaller than the sum of its proper divisors (309737503031880).

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

102223033032120 is a wasteful number, since it uses less digits than its factorization.

102223033032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432043 (or 432039 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102223033032120 its reverse (21230330322201), we get a palindrome (123453363354321).

The spelling of 102223033032120 in words is "one hundred two trillion, two hundred twenty-three billion, thirty-three million, thirty-two thousand, one hundred twenty".