213121201012220 has 48 divisors (see below), whose sum is σ = 448114276124928. Its totient is φ = 85141893957120.

The previous prime is 213121201012177. The next prime is 213121201012249. The reversal of 213121201012220 is 22210102121312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213121201012192 and 213121201012201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101487194 + ... + 103565886.

It is an arithmetic number, because the mean of its divisors is an integer number (9335714085936).

Almost surely, 2^{213121201012220} is an apocalyptic number.

213121201012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213121201012220 is an abundant number, since it is smaller than the sum of its proper divisors (234993075112708).

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

213121201012220 is a wasteful number, since it uses less digits than its factorization.

213121201012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085110 (or 2085108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 213121201012220 its reverse (22210102121312), we get a palindrome (235331303133532).

The spelling of 213121201012220 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred one million, twelve thousand, two hundred twenty".