201213220002120 has 128 divisors (see below), whose sum is σ = 670714151846400. Its totient is φ = 53656585187328.

The previous prime is 201213220002073. The next prime is 201213220002149. The reversal of 201213220002120 is 21200022312102.

201213220002120 is a `hidden beast` number, since 20 + 1 + 213 + 220 + 0 + 0 + 212 + 0 = 666.

201213220002120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 201213220002093 and 201213220002102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298831272 + ... + 299503848.

It is an arithmetic number, because the mean of its divisors is an integer number (5239954311300).

Almost surely, 2^{201213220002120} is an apocalyptic number.

201213220002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201213220002120 is an abundant number, since it is smaller than the sum of its proper divisors (469500931844280).

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

201213220002120 is a wasteful number, since it uses less digits than its factorization.

201213220002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949604 (or 949594 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201213220002120 its reverse (21200022312102), we get a palindrome (222413242314222).

The spelling of 201213220002120 in words is "two hundred one trillion, two hundred thirteen billion, two hundred twenty million, two thousand, one hundred twenty".