220120100012101 has 2 divisors, whose sum is σ = 220120100012102. Its totient is φ = 220120100012100.

The previous prime is 220120100012093. The next prime is 220120100012117. The reversal of 220120100012101 is 101210001021022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199508590812001 + 20611509200100 = 14124751^2 + 4539990^2 .

It is a cyclic number.

It is not a de Polignac number, because 220120100012101 - 2³ = 220120100012093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220120100012161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110060050006050 + 110060050006051.

It is an arithmetic number, because the mean of its divisors is an integer number (110060050006051).

Almost surely, 2^{220120100012101} is an apocalyptic number.

It is an amenable number.

220120100012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

220120100012101 is an equidigital number, since it uses as much as digits as its factorization.

220120100012101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 220120100012101 its reverse (101210001021022), we get a palindrome (321330101033123).

The spelling of 220120100012101 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred million, twelve thousand, one hundred one".