102001102110001 has 16 divisors (see below), whose sum is σ = 102710005200000. Its totient is φ = 101294626098816.

The previous prime is 102001102109989. The next prime is 102001102110023. The reversal of 102001102110001 is 100011201100201.

It is a cyclic number.

It is not a de Polignac number, because 102001102110001 - 2³⁵ = 101966742371633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102001102110001.

It is not an unprimeable number, because it can be changed into a prime (102001102110601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346584330 + ... + 346878508.

It is an arithmetic number, because the mean of its divisors is an integer number (6419375325000).

Almost surely, 2^{102001102110001} is an apocalyptic number.

It is an amenable number.

102001102110001 is a deficient number, since it is larger than the sum of its proper divisors (708903089999).

102001102110001 is a wasteful number, since it uses less digits than its factorization.

102001102110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298296.

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

Adding to 102001102110001 its reverse (100011201100201), we get a palindrome (202012303210202).

The spelling of 102001102110001 in words is "one hundred two trillion, one billion, one hundred two million, one hundred ten thousand, one".