100261162001 has 16 divisors (see below), whose sum is σ = 134616386688. Its totient is φ = 72115920000.

The previous prime is 100261161983. The next prime is 100261162003.

100261162001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100261162001 - 2³⁴ = 83081292817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100261162003) 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 15 ways as a sum of consecutive naturals, for example, 50079500 + ... + 50081501.

It is an arithmetic number, because the mean of its divisors is an integer number (8413524168).

Almost surely, 2^100261162001 is an apocalyptic number.

100261162001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100261162001 is a deficient number, since it is larger than the sum of its proper divisors (34355224687).

100261162001 is a wasteful number, since it uses less digits than its factorization.

100261162001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100161032.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 100261 and 162001, that added together give a palindrome (262262).

The spelling of 100261162001 in words is "one hundred billion, two hundred sixty-one million, one hundred sixty-two thousand, one".