201122210146 has 96 divisors (see below), whose sum is σ = 367963449840. Its totient is φ = 81858416640.

The previous prime is 201122210053. The next prime is 201122210147. The reversal of 201122210146 is 641012221102.

201122210146 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 81174277921 + 119947932225 = 284911^2 + 346335^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (201122210147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14832906 + ... + 14846458.

Almost surely, 2^201122210146 is an apocalyptic number.

201122210146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

201122210146 is a deficient number, since it is larger than the sum of its proper divisors (166841239694).

201122210146 is a wasteful number, since it uses less digits than its factorization.

201122210146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13732 (or 13721 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 201122210146 its reverse (641012221102), we get a palindrome (842134431248).

The spelling of 201122210146 in words is "two hundred one billion, one hundred twenty-two million, two hundred ten thousand, one hundred forty-six".