100101101001 has 16 divisors (see below), whose sum is σ = 145618053888. Its totient is φ = 60660478800.

The previous prime is 100101100997. The next prime is 100101101059.

100101101001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100101101001 - 2² = 100101100997 is a prime.

It is a super-2 number, since 2×100101101001² (a number of 23 digits) contains 22 as substring.

100101101001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (100101105001) 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, 133170 + ... + 466836.

It is an arithmetic number, because the mean of its divisors is an integer number (9101128368).

Almost surely, 2^100101101001 is an apocalyptic number.

100101101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101101001 is a deficient number, since it is larger than the sum of its proper divisors (45516952887).

100101101001 is a wasteful number, since it uses less digits than its factorization.

100101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342772.

The product of its (nonzero) digits is 1, while the sum is 6.

It can be divided in two parts, 100101 and 101001, that multiplied together give a palindrome (10110301101).

The spelling of 100101101001 in words is "one hundred billion, one hundred one million, one hundred one thousand, one".