100101001001001 has 48 divisors (see below), whose sum is σ = 182401824040128. Its totient is φ = 48000479990400.

The previous prime is 100101001000981. The next prime is 100101001001083. The reversal of 100101001001001 is 100100100101001.

It is not a de Polignac number, because 100101001001001 - 2⁶ = 100101001000937 is a prime.

100101001001001 is a modest number, since divided by 1001001 gives 100101 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100101001081001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2380955170 + ... + 2380997211.

It is an arithmetic number, because the mean of its divisors is an integer number (3800038000836).

Almost surely, 2^{100101001001001} is an apocalyptic number.

100101001001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101001001001 is a deficient number, since it is larger than the sum of its proper divisors (82300823039127).

100101001001001 is a wasteful number, since it uses less digits than its factorization.

100101001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761952422 (or 4761952415 counting only the distinct ones).

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

Adding to 100101001001001 its reverse (100100100101001), we get a palindrome (200201101102002).

The spelling of 100101001001001 in words is "one hundred trillion, one hundred one billion, one million, one thousand, one".