101199698161 has 9 divisors (see below), whose sum is σ = 103741556043. Its totient is φ = 98718688080.

The previous prime is 101199698087. The next prime is 101199698207. The reversal of 101199698161 is 161896991101.

The square root of 101199698161 is 318119.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4876368561 + 96323329600 = 69831^2 + 310360^2 .

It is not a de Polignac number, because 101199698161 - 2²⁷ = 101065480433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101199698099 and 101199698108.

It is not an unprimeable number, because it can be changed into a prime (101199698261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13039000 + ... + 13046758.

Almost surely, 2^101199698161 is an apocalyptic number.

101199698161 is the 318119-th square number.

101199698161 is the 159060-th centered octagonal number.

It is an amenable number.

101199698161 is a deficient number, since it is larger than the sum of its proper divisors (2541857882).

101199698161 is an frugal number, since it uses more digits than its factorization.

101199698161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15600 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 52.

The spelling of 101199698161 in words is "one hundred one billion, one hundred ninety-nine million, six hundred ninety-eight thousand, one hundred sixty-one".