102321133122000 has 320 divisors, whose sum is σ = 355691911760640. Its totient is φ = 25156046592000.

The previous prime is 102321133121971. The next prime is 102321133122007. The reversal of 102321133122000 is 221331123201.

It is a super-2 number, since 2×102321133122000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102321133122007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63239091 + ... + 64836909.

It is an arithmetic number, because the mean of its divisors is an integer number (1111537224252).

Almost surely, 2^{102321133122000} is an apocalyptic number.

102321133122000 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 102321133122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177845955880320).

102321133122000 is an abundant number, since it is smaller than the sum of its proper divisors (253370778638640).

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

102321133122000 is a wasteful number, since it uses less digits than its factorization.

102321133122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598679 (or 1598663 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102321133122000 its reverse (221331123201), we get a palindrome (102542464245201).

The spelling of 102321133122000 in words is "one hundred two trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred twenty-two thousand".