101020221221041 has 2 divisors, whose sum is σ = 101020221221042. Its totient is φ = 101020221221040.

The previous prime is 101020221220973. The next prime is 101020221221047. The reversal of 101020221221041 is 140122122020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77282823834225 + 23737397386816 = 8791065^2 + 4872104^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020221221041 - 2¹⁵ = 101020221188273 is a prime.

It is a super-2 number, since 2×101020221221041² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101020221221047) 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, 50510110610520 + 50510110610521.

It is an arithmetic number, because the mean of its divisors is an integer number (50510110610521).

Almost surely, 2^{101020221221041} is an apocalyptic number.

It is an amenable number.

101020221221041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020221221041 is an equidigital number, since it uses as much as digits as its factorization.

101020221221041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101020221221041 its reverse (140122122020101), we get a palindrome (241142343241142).

The spelling of 101020221221041 in words is "one hundred one trillion, twenty billion, two hundred twenty-one million, two hundred twenty-one thousand, forty-one".