100102001110001 has 32 divisors (see below), whose sum is σ = 109552712457216. Its totient is φ = 90710338968000.

The previous prime is 100102001109991. The next prime is 100102001110037. The reversal of 100102001110001 is 100011100201001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100102001110001 - 2¹⁴ = 100102001093617 is a prime.

It is a super-2 number, since 2×100102001110001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102001110801) 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, 11011105466 + ... + 11011114556.

It is an arithmetic number, because the mean of its divisors is an integer number (3423522264288).

Almost surely, 2^{100102001110001} is an apocalyptic number.

100102001110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102001110001 is a deficient number, since it is larger than the sum of its proper divisors (9450711347215).

100102001110001 is a wasteful number, since it uses less digits than its factorization.

100102001110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12213.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100102001110001 its reverse (100011100201001), we get a palindrome (200113101311002).

The spelling of 100102001110001 in words is "one hundred trillion, one hundred two billion, one million, one hundred ten thousand, one".