201211121112102 has 12 divisors (see below), whose sum is σ = 435957429076260. Its totient is φ = 67070373704028.

The previous prime is 201211121112097. The next prime is 201211121112143.

It is a happy number.

201211121112102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11178395617339 = 201211121112102 / (2 + 0 + 1 + 2 + 1 + 1 + 1 + 2 + 1 + 1 + 1 + 2 + 1 + 0 + 2).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5589197808652 + ... + 5589197808687.

It is an arithmetic number, because the mean of its divisors is an integer number (36329785756355).

Almost surely, 2^{201211121112102} is an apocalyptic number.

201211121112102 is an abundant number, since it is smaller than the sum of its proper divisors (234746307964158).

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

201211121112102 is a wasteful number, since it uses less digits than its factorization.

201211121112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178395617347 (or 11178395617344 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 201211121112102 in words is "two hundred one trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, one hundred two".