201012212120985 has 12 divisors (see below), whose sum is σ = 348421167676452. Its totient is φ = 107206513131168.

The previous prime is 201012212120981. The next prime is 201012212121013. The reversal of 201012212120985 is 589021212210102.

201012212120985 is a `hidden beast` number, since 201 + 0 + 1 + 221 + 21 + 209 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76543671157776 + 124468540963209 = 8748924^2 + 11156547^2 .

It is not a de Polignac number, because 201012212120985 - 2² = 201012212120981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201012212120981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2233469023522 + ... + 2233469023611.

It is an arithmetic number, because the mean of its divisors is an integer number (29035097306371).

Almost surely, 2^{201012212120985} is an apocalyptic number.

It is an amenable number.

201012212120985 is a deficient number, since it is larger than the sum of its proper divisors (147408955555467).

201012212120985 is a wasteful number, since it uses less digits than its factorization.

201012212120985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466938047144 (or 4466938047141 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 201012212120985 in words is "two hundred one trillion, twelve billion, two hundred twelve million, one hundred twenty thousand, nine hundred eighty-five".