201232132101000 has 3072 divisors, whose sum is σ = 940673713674240. Its totient is φ = 37444239360000.

The previous prime is 201232132100983. The next prime is 201232132101041. The reversal of 201232132101000 is 101231232102.

201232132101000 is a `hidden beast` number, since 2 + 0 + 12 + 321 + 321 + 0 + 10 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 152333180340 + ... + 152333181660.

It is an arithmetic number, because the mean of its divisors is an integer number (306208891170).

Almost surely, 2^{201232132101000} is an apocalyptic number.

201232132101000 is a gapful number since it is divisible by the number (20) 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 201232132101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470336856837120).

201232132101000 is an abundant number, since it is smaller than the sum of its proper divisors (739441581573240).

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

201232132101000 is a wasteful number, since it uses less digits than its factorization.

201232132101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1856 counting only the distinct ones).

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

Adding to 201232132101000 its reverse (101231232102), we get a palindrome (201333363333102).

The spelling of 201232132101000 in words is "two hundred one trillion, two hundred thirty-two billion, one hundred thirty-two million, one hundred one thousand".