10100654161 has 16 divisors (see below), whose sum is σ = 11196738000. Its totient is φ = 9051291648.

The previous prime is 10100654149. The next prime is 10100654237. The reversal of 10100654161 is 16145600101.

10100654161 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 40564161 + 10060090000 = 6369^2 + 100300^2 .

It is not a de Polignac number, because 10100654161 - 2¹⁹ = 10100129873 is a prime.

It is a super-2 number, since 2×10100654161² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100654101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192585 + ... + 239353.

It is an arithmetic number, because the mean of its divisors is an integer number (699796125).

Almost surely, 2^10100654161 is an apocalyptic number.

It is an amenable number.

10100654161 is a deficient number, since it is larger than the sum of its proper divisors (1096083839).

10100654161 is a wasteful number, since it uses less digits than its factorization.

10100654161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47268.

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 10100654161 in words is "ten billion, one hundred million, six hundred fifty-four thousand, one hundred sixty-one".