102333331122000 has 640 divisors, whose sum is σ = 369759892709376. Its totient is φ = 24129964800000.

The previous prime is 102333331121993. The next prime is 102333331122041. The reversal of 102333331122000 is 221133333201.

It is a super-2 number, since 2×102333331122000² (a number of 29 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12774097995 + ... + 12774106005.

Almost surely, 2^{102333331122000} is an apocalyptic number.

102333331122000 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 102333331122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184879946354688).

102333331122000 is an abundant number, since it is smaller than the sum of its proper divisors (267426561587376).

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

102333331122000 is a wasteful number, since it uses less digits than its factorization.

102333331122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13316 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 102333331122000 its reverse (221133333201), we get a palindrome (102554464455201).

The spelling of 102333331122000 in words is "one hundred two trillion, three hundred thirty-three billion, three hundred thirty-one million, one hundred twenty-two thousand".