100022201001161 has 2 divisors, whose sum is σ = 100022201001162. Its totient is φ = 100022201001160.

The previous prime is 100022201001119. The next prime is 100022201001169. The reversal of 100022201001161 is 161100102220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99926633461561 + 95567539600 = 9996331^2 + 309140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100022201001161 is a prime.

It is a super-3 number, since 3×100022201001161³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100022201001169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011100500580 + 50011100500581.

It is an arithmetic number, because the mean of its divisors is an integer number (50011100500581).

Almost surely, 2^{100022201001161} is an apocalyptic number.

It is an amenable number.

100022201001161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022201001161 is an equidigital number, since it uses as much as digits as its factorization.

100022201001161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100022201001161 its reverse (161100102220001), we get a palindrome (261122303221162).

The spelling of 100022201001161 in words is "one hundred trillion, twenty-two billion, two hundred one million, one thousand, one hundred sixty-one".