102101002101101 has 8 divisors (see below), whose sum is σ = 105259197736704. Its totient is φ = 98963791154640.

The previous prime is 102101002101073. The next prime is 102101002101113. The reversal of 102101002101101 is 101101200101201.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102101002101101 is a prime.

It is a super-2 number, since 2×102101002101101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101002151101) 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, 5246162405 + ... + 5246181866.

It is an arithmetic number, because the mean of its divisors is an integer number (13157399717088).

Almost surely, 2^{102101002101101} is an apocalyptic number.

It is an amenable number.

102101002101101 is a deficient number, since it is larger than the sum of its proper divisors (3158195635603).

102101002101101 is a wasteful number, since it uses less digits than its factorization.

102101002101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492344571.

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

Adding to 102101002101101 its reverse (101101200101201), we get a palindrome (203202202202302).

The spelling of 102101002101101 in words is "one hundred two trillion, one hundred one billion, two million, one hundred one thousand, one hundred one".