201101210211122 has 256 divisors, whose sum is σ = 364997918638080. Its totient is φ = 82252717747200.

The previous prime is 201101210211071. The next prime is 201101210211173. The reversal of 201101210211122 is 221112012101102.

201101210211122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201101210211071) and next prime (201101210211173).

It is a self number, because there is not a number n which added to its sum of digits gives 201101210211122.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27726621248 + ... + 27726628500.

It is an arithmetic number, because the mean of its divisors is an integer number (1425773119680).

Almost surely, 2^{201101210211122} is an apocalyptic number.

201101210211122 is a deficient number, since it is larger than the sum of its proper divisors (163896708426958).

201101210211122 is a wasteful number, since it uses less digits than its factorization.

201101210211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7889.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 201101210211122 its reverse (221112012101102), we get a palindrome (422213222312224).

The spelling of 201101210211122 in words is "two hundred one trillion, one hundred one billion, two hundred ten million, two hundred eleven thousand, one hundred twenty-two".