100100001001 has 32 divisors (see below), whose sum is σ = 142305907968. Its totient is φ = 67764695040.

The previous prime is 100100000993. The next prime is 100100001031.

100100001001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100100001001 - 2³ = 100100000993 is a prime.

100100001001 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 (100100001031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2924160 + ... + 2958193.

It is an arithmetic number, because the mean of its divisors is an integer number (4447059624).

Almost surely, 2^100100001001 is an apocalyptic number.

100100001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100001001 is a deficient number, since it is larger than the sum of its proper divisors (42205906967).

100100001001 is a wasteful number, since it uses less digits than its factorization.

100100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882401.

The product of its (nonzero) digits is 1, while the sum is 4.

It can be divided in two parts, 10010000 and 1001, that multiplied together give a square (10020010000 = 100100²).

The spelling of 100100001001 in words is "one hundred billion, one hundred million, one thousand, one".