201101233121010 has 192 divisors, whose sum is σ = 543102275289600. Its totient is φ = 51584323101696.

The previous prime is 201101233120979. The next prime is 201101233121017. The reversal of 201101233121010 is 10121332101102.

201101233121010 is a `hidden beast` number, since 2 + 0 + 110 + 1 + 2 + 331 + 210 + 10 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201101233121017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2382476227 + ... + 2382560633.

It is an arithmetic number, because the mean of its divisors is an integer number (2828657683800).

Almost surely, 2^{201101233121010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101233121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271551137644800).

201101233121010 is an abundant number, since it is smaller than the sum of its proper divisors (342001042168590).

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

201101233121010 is a wasteful number, since it uses less digits than its factorization.

201101233121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92585 (or 92582 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201101233121010 its reverse (10121332101102), we get a palindrome (211222565222112).

The spelling of 201101233121010 in words is "two hundred one trillion, one hundred one billion, two hundred thirty-three million, one hundred twenty-one thousand, ten".