201122414010 has 96 divisors (see below), whose sum is σ = 598319834112. Its totient is φ = 45917072640.

The previous prime is 201122413997. The next prime is 201122414011. The reversal of 201122414010 is 10414221102.

201122414010 is a `hidden beast` number, since 20 + 1 + 1 + 2 + 241 + 401 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (201122414011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353655 + ... + 726165.

It is an arithmetic number, because the mean of its divisors is an integer number (6232498272).

Almost surely, 2^201122414010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201122414010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299159917056).

201122414010 is an abundant number, since it is smaller than the sum of its proper divisors (397197420102).

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

201122414010 is a wasteful number, since it uses less digits than its factorization.

201122414010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373388 (or 373385 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201122414010 its reverse (10414221102), we get a palindrome (211536635112).

The spelling of 201122414010 in words is "two hundred one billion, one hundred twenty-two million, four hundred fourteen thousand, ten".