101333123012000 has 192 divisors, whose sum is σ = 272387910412800. Its totient is φ = 36742819968000.

The previous prime is 101333123011963. The next prime is 101333123012039. The reversal of 101333123012000 is 210321333101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12056537 + ... + 18655463.

It is an arithmetic number, because the mean of its divisors is an integer number (1418687033400).

Almost surely, 2^{101333123012000} is an apocalyptic number.

101333123012000 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 101333123012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136193955206400).

101333123012000 is an abundant number, since it is smaller than the sum of its proper divisors (171054787400800).

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

101333123012000 is a wasteful number, since it uses less digits than its factorization.

101333123012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599312 (or 6599294 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101333123012000 its reverse (210321333101), we get a palindrome (101543444345101).

The spelling of 101333123012000 in words is "one hundred one trillion, three hundred thirty-three billion, one hundred twenty-three million, twelve thousand".