1220101021121 has 2 divisors, whose sum is σ = 1220101021122. Its totient is φ = 1220101021120.

The previous prime is 1220101021103. The next prime is 1220101021141. The reversal of 1220101021121 is 1211201010221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1065620579521 + 154480441600 = 1032289^2 + 393040^2 .

It is an emirp because it is prime and its reverse (1211201010221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1220101021121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220101021096 and 1220101021105.

It is not a weakly prime, because it can be changed into another prime (1220101021141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610050510560 + 610050510561.

It is an arithmetic number, because the mean of its divisors is an integer number (610050510561).

Almost surely, 2^{1220101021121} is an apocalyptic number.

It is an amenable number.

1220101021121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1220101021121 is an equidigital number, since it uses as much as digits as its factorization.

1220101021121 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 14.

Adding to 1220101021121 its reverse (1211201010221), we get a palindrome (2431302031342).

The spelling of 1220101021121 in words is "one trillion, two hundred twenty billion, one hundred one million, twenty-one thousand, one hundred twenty-one".