102101101102001 has 8 divisors (see below), whose sum is σ = 104860719838464. Its totient is φ = 99341489182320.

The previous prime is 102101101101973. The next prime is 102101101102019. The reversal of 102101101102001 is 100201101101201.

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 102101101102001 - 2²⁶ = 102101033993137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102101101102031) 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, 47936186 + ... + 50020796.

It is an arithmetic number, because the mean of its divisors is an integer number (13107589979808).

Almost surely, 2^{102101101102001} is an apocalyptic number.

It is an amenable number.

102101101102001 is a deficient number, since it is larger than the sum of its proper divisors (2759618736463).

102101101102001 is a wasteful number, since it uses less digits than its factorization.

102101101102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408391.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102101101102001 its reverse (100201101101201), we get a palindrome (202302202203202).

The spelling of 102101101102001 in words is "one hundred two trillion, one hundred one billion, one hundred one million, one hundred two thousand, one".