201020001212121 has 48 divisors (see below), whose sum is σ = 344844528485184. Its totient is φ = 103166784072576.

The previous prime is 201020001212119. The next prime is 201020001212159. The reversal of 201020001212121 is 121212100020102.

It is not a de Polignac number, because 201020001212121 - 2¹ = 201020001212119 is a prime.

It is a super-2 number, since 2×201020001212121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201020001212121.

It is not an unprimeable number, because it can be changed into a prime (201020001212111) 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 47 ways as a sum of consecutive naturals, for example, 1421429295 + ... + 1421570708.

It is an arithmetic number, because the mean of its divisors is an integer number (7184261010108).

Almost surely, 2^{201020001212121} is an apocalyptic number.

201020001212121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201020001212121 is a deficient number, since it is larger than the sum of its proper divisors (143824527273063).

201020001212121 is a wasteful number, since it uses less digits than its factorization.

201020001212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843000070 (or 2843000063 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201020001212121 its reverse (121212100020102), we get a palindrome (322232101232223).

The spelling of 201020001212121 in words is "two hundred one trillion, twenty billion, one million, two hundred twelve thousand, one hundred twenty-one".