201101210122000 has 80 divisors (see below), whose sum is σ = 486589303278000. Its totient is φ = 80386459699200.

The previous prime is 201101210121971. The next prime is 201101210122003. The reversal of 201101210122000 is 221012101102.

It can be written as a sum of positive squares in 8 ways, for example, as 65732918317056 + 135368291804944 = 8107584^2 + 11634788^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (201101210122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30786475 + ... + 36742474.

It is an arithmetic number, because the mean of its divisors is an integer number (6082366290975).

Almost surely, 2^{201101210122000} is an apocalyptic number.

201101210122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101210122000 is an abundant number, since it is smaller than the sum of its proper divisors (285488093156000).

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

201101210122000 is a wasteful number, since it uses less digits than its factorization.

201101210122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67530461 (or 67530445 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201101210122000 its reverse (221012101102), we get a palindrome (201322222223102).

The spelling of 201101210122000 in words is "two hundred one trillion, one hundred one billion, two hundred ten million, one hundred twenty-two thousand".