220001000112121 has 32 divisors (see below), whose sum is σ = 236445261500448. Its totient is φ = 203969819934720.

The previous prime is 220001000112071. The next prime is 220001000112163. The reversal of 220001000112121 is 121211000100022.

It can be written as a sum of positive squares in 16 ways, for example, as 99591198652521 + 120409801459600 = 9979539^2 + 10973140^2 .

It is a cyclic number.

It is not a de Polignac number, because 220001000112121 - 2⁴⁵ = 184816628023289 is a prime.

It is a super-2 number, since 2×220001000112121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220001000113121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 575949631 + ... + 576331483.

It is an arithmetic number, because the mean of its divisors is an integer number (7388914421889).

Almost surely, 2^{220001000112121} is an apocalyptic number.

It is an amenable number.

220001000112121 is a deficient number, since it is larger than the sum of its proper divisors (16444261388327).

220001000112121 is a wasteful number, since it uses less digits than its factorization.

220001000112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383821.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 220001000112121 its reverse (121211000100022), we get a palindrome (341212000212143).

The spelling of 220001000112121 in words is "two hundred twenty trillion, one billion, one hundred twelve thousand, one hundred twenty-one".