102133021122000 has 640 divisors, whose sum is σ = 399258674380800. Its totient is φ = 24751132992000.

The previous prime is 102133021121987. The next prime is 102133021122007. The reversal of 102133021122000 is 221120331201.

102133021122000 is a `hidden beast` number, since 1 + 0 + 21 + 330 + 2 + 112 + 200 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133021122007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1852658437 + ... + 1852713563.

It is an arithmetic number, because the mean of its divisors is an integer number (623841678720).

Almost surely, 2^{102133021122000} is an apocalyptic number.

102133021122000 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 102133021122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199629337190400).

102133021122000 is an abundant number, since it is smaller than the sum of its proper divisors (297125653258800).

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

102133021122000 is a wasteful number, since it uses less digits than its factorization.

102133021122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58289 (or 58267 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102133021122000 its reverse (221120331201), we get a palindrome (102354141453201).

The spelling of 102133021122000 in words is "one hundred two trillion, one hundred thirty-three billion, twenty-one million, one hundred twenty-two thousand".