201048522120 has 80 divisors (see below), whose sum is σ = 675746432460. Its totient is φ = 53612938368.

The previous prime is 201048522041. The next prime is 201048522197. The reversal of 201048522120 is 21225840102.

201048522120 is a `hidden beast` number, since 2 + 0 + 10 + 4 + 8 + 522 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195546146436 + 5502375684 = 442206^2 + 74178^2 .

It is a super-2 number, since 2×201048522120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31022767 + ... + 31029246.

Almost surely, 2^201048522120 is an apocalyptic number.

201048522120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201048522120 is an abundant number, since it is smaller than the sum of its proper divisors (474697910340).

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

201048522120 is a wasteful number, since it uses less digits than its factorization.

201048522120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62052036 (or 62052023 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 201048522120 in words is "two hundred one billion, forty-eight million, five hundred twenty-two thousand, one hundred twenty".