101222012199961 has 2 divisors, whose sum is σ = 101222012199962. Its totient is φ = 101222012199960.

The previous prime is 101222012199929. The next prime is 101222012200013. The reversal of 101222012199961 is 169991210222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68613572455561 + 32608439744400 = 8283331^2 + 5710380^2 .

It is an emirp because it is prime and its reverse (169991210222101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101222012199961 - 2⁵ = 101222012199929 is a prime.

It is not a weakly prime, because it can be changed into another prime (101222012199901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611006099980 + 50611006099981.

It is an arithmetic number, because the mean of its divisors is an integer number (50611006099981).

Almost surely, 2^{101222012199961} is an apocalyptic number.

It is an amenable number.

101222012199961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222012199961 is an equidigital number, since it uses as much as digits as its factorization.

101222012199961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 46.

The spelling of 101222012199961 in words is "one hundred one trillion, two hundred twenty-two billion, twelve million, one hundred ninety-nine thousand, nine hundred sixty-one".