100100010011001 has 128 divisors (see below), whose sum is σ = 184056297062400. Its totient is φ = 46699399618560.

The previous prime is 100100010010999. The next prime is 100100010011041. The reversal of 100100010011001 is 100110010001001.

It is not a de Polignac number, because 100100010011001 - 2¹ = 100100010010999 is a prime.

100100010011001 is a modest number, since divided by 10011001 gives 1001000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100100010011041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2343198520 + ... + 2343241238.

It is an arithmetic number, because the mean of its divisors is an integer number (1437939820800).

Almost surely, 2^{100100010011001} is an apocalyptic number.

100100010011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100010011001 is a deficient number, since it is larger than the sum of its proper divisors (83956287051399).

100100010011001 is a wasteful number, since it uses less digits than its factorization.

100100010011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63879.

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

Adding to 100100010011001 its reverse (100110010001001), we get a palindrome (200210020012002).

It can be divided in two parts, 10010001001 and 1001, that multiplied together give a palindrome (10020011002001).

The spelling of 100100010011001 in words is "one hundred trillion, one hundred billion, ten million, eleven thousand, one".