10220010002161 has 2 divisors, whose sum is σ = 10220010002162. Its totient is φ = 10220010002160.

The previous prime is 10220010002131. The next prime is 10220010002227. The reversal of 10220010002161 is 16120001002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9227135264400 + 992874737761 = 3037620^2 + 996431^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220010002161 - 2²³ = 10220001613553 is a prime.

It is not a weakly prime, because it can be changed into another prime (10220010002101) 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, 5110005001080 + 5110005001081.

It is an arithmetic number, because the mean of its divisors is an integer number (5110005001081).

Almost surely, 2^{10220010002161} is an apocalyptic number.

It is an amenable number.

10220010002161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220010002161 is an equidigital number, since it uses as much as digits as its factorization.

10220010002161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10220010002161 its reverse (16120001002201), we get a palindrome (26340011004362).

The spelling of 10220010002161 in words is "ten trillion, two hundred twenty billion, ten million, two thousand, one hundred sixty-one".