10111100102101 has 8 divisors (see below), whose sum is σ = 10244043508608. Its totient is φ = 9978800490000.

The previous prime is 10111100102093. The next prime is 10111100102143. The reversal of 10111100102101 is 10120100111101.

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 10111100102101 - 2³ = 10111100102093 is a prime.

It is a super-3 number, since 3×10111100102101³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111100172101) 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, 160916985 + ... + 160979806.

It is an arithmetic number, because the mean of its divisors is an integer number (1280505438576).

Almost surely, 2^{10111100102101} is an apocalyptic number.

It is an amenable number.

10111100102101 is a deficient number, since it is larger than the sum of its proper divisors (132943406507).

10111100102101 is a wasteful number, since it uses less digits than its factorization.

10111100102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321897203.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111100102101 its reverse (10120100111101), we get a palindrome (20231200213202).

The spelling of 10111100102101 in words is "ten trillion, one hundred eleven billion, one hundred million, one hundred two thousand, one hundred one".