102233133303120 has 640 divisors, whose sum is σ = 373372988313600. Its totient is φ = 25639274539008.

The previous prime is 102233133303029. The next prime is 102233133303151. The reversal of 102233133303120 is 21303331332201.

102233133303120 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 3 + 13 + 330 + 312 + 0 = 666.

It is a super-2 number, since 2×102233133303120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7648166677 + ... + 7648180043.

It is an arithmetic number, because the mean of its divisors is an integer number (583395294240).

Almost surely, 2^{102233133303120} is an apocalyptic number.

102233133303120 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 102233133303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186686494156800).

102233133303120 is an abundant number, since it is smaller than the sum of its proper divisors (271139855010480).

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

102233133303120 is a wasteful number, since it uses less digits than its factorization.

102233133303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14752 (or 14740 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 102233133303120 its reverse (21303331332201), we get a palindrome (123536464635321).

The spelling of 102233133303120 in words is "one hundred two trillion, two hundred thirty-three billion, one hundred thirty-three million, three hundred three thousand, one hundred twenty".