100102001112001 has 8 divisors (see below), whose sum is σ = 115534982896704. Its totient is φ = 84952193305200.

The previous prime is 100102001111969. The next prime is 100102001112079. The reversal of 100102001112001 is 100211100201001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100102001112001 - 2⁵ = 100102001111969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100102001112401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70793493715 + ... + 70793495128.

It is an arithmetic number, because the mean of its divisors is an integer number (14441872862088).

Almost surely, 2^{100102001112001} is an apocalyptic number.

It is an amenable number.

100102001112001 is a deficient number, since it is larger than the sum of its proper divisors (15432981784703).

100102001112001 is a wasteful number, since it uses less digits than its factorization.

100102001112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141586988951.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100102001112001 its reverse (100211100201001), we get a palindrome (200313101313002).

The spelling of 100102001112001 in words is "one hundred trillion, one hundred two billion, one million, one hundred twelve thousand, one".