220210212011121 has 12 divisors (see below), whose sum is σ = 318082241534148. Its totient is φ = 146806427614464.

The previous prime is 220210212011107. The next prime is 220210212011147. The reversal of 220210212011121 is 121110212012022.

220210212011121 is a `hidden beast` number, since 220 + 210 + 2 + 1 + 201 + 11 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198654620171121 + 21555591840000 = 14094489^2 + 4642800^2 .

It is not a de Polignac number, because 220210212011121 - 2⁷ = 220210212010993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220210212011094 and 220210212011103.

It is not an unprimeable number, because it can be changed into a prime (220210212011191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28010440 + ... + 35000073.

It is an arithmetic number, because the mean of its divisors is an integer number (26506853461179).

Almost surely, 2^{220210212011121} is an apocalyptic number.

It is an amenable number.

220210212011121 is a deficient number, since it is larger than the sum of its proper divisors (97872029523027).

220210212011121 is a wasteful number, since it uses less digits than its factorization.

220210212011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63398832 (or 63398829 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220210212011121 its reverse (121110212012022), we get a palindrome (341320424023143).

Subtracting from 220210212011121 its reverse (121110212012022), we obtain a palindrome (99099999999099).

The spelling of 220210212011121 in words is "two hundred twenty trillion, two hundred ten billion, two hundred twelve million, eleven thousand, one hundred twenty-one".