102000100001001 has 8 divisors (see below), whose sum is σ = 136117072404960. Its totient is φ = 67941597132192.

The previous prime is 102000100000901. The next prime is 102000100001003. The reversal of 102000100001001 is 100100001000201.

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

It is not a de Polignac number, because 102000100001001 - 2¹⁹ = 102000099476713 is a prime.

It is a super-3 number, since 3×102000100001001³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102000100001003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14617379716 + ... + 14617386693.

It is an arithmetic number, because the mean of its divisors is an integer number (17014634050620).

Almost surely, 2^{102000100001001} is an apocalyptic number.

It is an amenable number.

102000100001001 is a deficient number, since it is larger than the sum of its proper divisors (34116972403959).

102000100001001 is a wasteful number, since it uses less digits than its factorization.

102000100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29234767575.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 102000100001001 its reverse (100100001000201), we get a palindrome (202100101001202).

The spelling of 102000100001001 in words is "one hundred two trillion, one hundred million, one thousand, one".