101102200009961 has 2 divisors, whose sum is σ = 101102200009962. Its totient is φ = 101102200009960.

The previous prime is 101102200009901. The next prime is 101102200010023. The reversal of 101102200009961 is 169900002201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87272310061225 + 13829889948736 = 9341965^2 + 3718856^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102200009961 - 2¹⁸ = 101102199747817 is a prime.

It is not a weakly prime, because it can be changed into another prime (101102200009901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551100004980 + 50551100004981.

It is an arithmetic number, because the mean of its divisors is an integer number (50551100004981).

Almost surely, 2^{101102200009961} is an apocalyptic number.

It is an amenable number.

101102200009961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102200009961 is an equidigital number, since it uses as much as digits as its factorization.

101102200009961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 101102200009961 in words is "one hundred one trillion, one hundred two billion, two hundred million, nine thousand, nine hundred sixty-one".