201121030312002 has 48 divisors (see below), whose sum is σ = 448666894316472. Its totient is φ = 65064138796800.

The previous prime is 201121030312001. The next prime is 201121030312019. The reversal of 201121030312002 is 200213030121102.

201121030312002 is a `hidden beast` number, since 20 + 11 + 210 + 303 + 120 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195501385516761 + 5619644795241 = 13982181^2 + 2370579^2 .

It is a super-2 number, since 2×201121030312002² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201121030312001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380067499 + ... + 380596302.

Almost surely, 2^{201121030312002} is an apocalyptic number.

201121030312002 is an abundant number, since it is smaller than the sum of its proper divisors (247545864004470).

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

201121030312002 is a wasteful number, since it uses less digits than its factorization.

201121030312002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760664243 (or 760664240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201121030312002 its reverse (200213030121102), we get a palindrome (401334060433104).

The spelling of 201121030312002 in words is "two hundred one trillion, one hundred twenty-one billion, thirty million, three hundred twelve thousand, two".