221020120000153 has 2 divisors, whose sum is σ = 221020120000154. Its totient is φ = 221020120000152.

The previous prime is 221020120000111. The next prime is 221020120000189. The reversal of 221020120000153 is 351000021020122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215954546033664 + 5065573966489 = 14695392^2 + 2250683^2 .

It is a cyclic number.

It is not a de Polignac number, because 221020120000153 - 2¹³ = 221020119991961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221020120000153.

It is not a weakly prime, because it can be changed into another prime (221020120009153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110510060000076 + 110510060000077.

It is an arithmetic number, because the mean of its divisors is an integer number (110510060000077).

Almost surely, 2^{221020120000153} is an apocalyptic number.

It is an amenable number.

221020120000153 is a deficient number, since it is larger than the sum of its proper divisors (1).

221020120000153 is an equidigital number, since it uses as much as digits as its factorization.

221020120000153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 221020120000153 its reverse (351000021020122), we get a palindrome (572020141020275).

The spelling of 221020120000153 in words is "two hundred twenty-one trillion, twenty billion, one hundred twenty million, one hundred fifty-three", and thus it is an aban number.