201001012112121 has 16 divisors (see below), whose sum is σ = 289984690228800. Its totient is φ = 123106708105920.

The previous prime is 201001012112099. The next prime is 201001012112227. The reversal of 201001012112121 is 121211210100102.

It is a happy number.

It is not a de Polignac number, because 201001012112121 - 2³⁴ = 200983832242937 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 201001012112121.

It is not an unprimeable number, because it can be changed into a prime (201001012112521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12212958846 + ... + 12212975303.

It is an arithmetic number, because the mean of its divisors is an integer number (18124043139300).

Almost surely, 2^{201001012112121} is an apocalyptic number.

It is an amenable number.

201001012112121 is a deficient number, since it is larger than the sum of its proper divisors (88983678116679).

201001012112121 is a wasteful number, since it uses less digits than its factorization.

201001012112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24425934376.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201001012112121 its reverse (121211210100102), we get a palindrome (322212222212223).

The spelling of 201001012112121 in words is "two hundred one trillion, one billion, twelve million, one hundred twelve thousand, one hundred twenty-one".