201022220202120 has 48 divisors (see below), whose sum is σ = 653322215658060. Its totient is φ = 53605925387136.

The previous prime is 201022220202107. The next prime is 201022220202131. The reversal of 201022220202120 is 21202022220102.

201022220202120 is a `hidden beast` number, since 20 + 10 + 222 + 202 + 0 + 212 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 174182505543684 + 26839714658436 = 13197822^2 + 5180706^2 .

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 = 201022220202093 and 201022220202102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279197527699 + ... + 279197528418.

Almost surely, 2^{201022220202120} is an apocalyptic number.

201022220202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022220202120 is an abundant number, since it is smaller than the sum of its proper divisors (452299995455940).

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

201022220202120 is a wasteful number, since it uses less digits than its factorization.

201022220202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558395056134 (or 558395056127 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201022220202120 its reverse (21202022220102), we get a palindrome (222224242422222).

The spelling of 201022220202120 in words is "two hundred one trillion, twenty-two billion, two hundred twenty million, two hundred two thousand, one hundred twenty".