100961169001 has 32 divisors (see below), whose sum is σ = 128355694848. Its totient is φ = 77122256640.

The previous prime is 100961168977. The next prime is 100961169007.

100961169001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100961169001 - 2⁹ = 100961168489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100961169007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5201751 + ... + 5221123.

It is an arithmetic number, because the mean of its divisors is an integer number (4011115464).

Almost surely, 2^100961169001 is an apocalyptic number.

100961169001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100961169001 is a deficient number, since it is larger than the sum of its proper divisors (27394525847).

100961169001 is a wasteful number, since it uses less digits than its factorization.

100961169001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20721.

The product of its (nonzero) digits is 2916, while the sum is 34.

It can be divided in two parts, 100961 and 169001, that added together give a palindrome (269962).

The spelling of 100961169001 in words is "one hundred billion, nine hundred sixty-one million, one hundred sixty-nine thousand, one".