10211312201220 has 144 divisors (see below), whose sum is σ = 33358376862720. Its totient is φ = 2513446495488.

The previous prime is 10211312201201. The next prime is 10211312201227. The reversal of 10211312201220 is 2210221311201.

10211312201220 is a `hidden beast` number, since 1 + 0 + 211 + 31 + 2 + 201 + 220 = 666.

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 = 10211312201193 and 10211312201202.

It is not an unprimeable number, because it can be changed into a prime (10211312201227) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 64240201 + ... + 64398959.

It is an arithmetic number, because the mean of its divisors is an integer number (231655394880).

Almost surely, 2^{10211312201220} is an apocalyptic number.

10211312201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211312201220 is an abundant number, since it is smaller than the sum of its proper divisors (23147064661500).

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

10211312201220 is a wasteful number, since it uses less digits than its factorization.

10211312201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186274 (or 186269 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10211312201220 its reverse (2210221311201), we get a palindrome (12421533512421).

The spelling of 10211312201220 in words is "ten trillion, two hundred eleven billion, three hundred twelve million, two hundred one thousand, two hundred twenty".