100845212161 has 16 divisors (see below), whose sum is σ = 107184626640. Its totient is φ = 94710712320.

The previous prime is 100845212099. The next prime is 100845212173. The reversal of 100845212161 is 161212548001.

It can be written as a sum of positive squares in 8 ways, for example, as 238887936 + 100606324225 = 15456^2 + 317185^2 .

It is a cyclic number.

It is not a de Polignac number, because 100845212161 - 2¹⁹ = 100844687873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100845212561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274855 + ... + 526531.

It is an arithmetic number, because the mean of its divisors is an integer number (6699039165).

Almost surely, 2^100845212161 is an apocalyptic number.

It is an amenable number.

100845212161 is a deficient number, since it is larger than the sum of its proper divisors (6339414479).

100845212161 is a wasteful number, since it uses less digits than its factorization.

100845212161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252084.

The product of its (nonzero) digits is 3840, while the sum is 31.

The spelling of 100845212161 in words is "one hundred billion, eight hundred forty-five million, two hundred twelve thousand, one hundred sixty-one".