201012121210102 has 64 divisors (see below), whose sum is σ = 308851574814720. Its totient is φ = 98094545740800.

The previous prime is 201012121210073. The next prime is 201012121210129.

201012121210102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18179620158 + ... + 18179631214.

It is an arithmetic number, because the mean of its divisors is an integer number (4825805856480).

Almost surely, 2^{201012121210102} is an apocalyptic number.

201012121210102 is a deficient number, since it is larger than the sum of its proper divisors (107839453604618).

201012121210102 is a wasteful number, since it uses less digits than its factorization.

201012121210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13837.

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 201012121210102 in words is "two hundred one trillion, twelve billion, one hundred twenty-one million, two hundred ten thousand, one hundred two".