220100021211121 has 2 divisors, whose sum is σ = 220100021211122. Its totient is φ = 220100021211120.

The previous prime is 220100021211079. The next prime is 220100021211127. The reversal of 220100021211121 is 121112120001022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217785606668721 + 2314414542400 = 14757561^2 + 1521320^2 .

It is a cyclic number.

It is not a de Polignac number, because 220100021211121 - 2¹⁵ = 220100021178353 is a prime.

It is a super-2 number, since 2×220100021211121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220100021211095 and 220100021211104.

It is not a weakly prime, because it can be changed into another prime (220100021211127) by changing a digit.

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 as a sum of consecutive naturals, namely, 110050010605560 + 110050010605561.

It is an arithmetic number, because the mean of its divisors is an integer number (110050010605561).

Almost surely, 2^{220100021211121} is an apocalyptic number.

It is an amenable number.

220100021211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

220100021211121 is an equidigital number, since it uses as much as digits as its factorization.

220100021211121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 220100021211121 its reverse (121112120001022), we get a palindrome (341212141212143).

The spelling of 220100021211121 in words is "two hundred twenty trillion, one hundred billion, twenty-one million, two hundred eleven thousand, one hundred twenty-one".