10110111102101 has 8 divisors (see below), whose sum is σ = 10457249659584. Its totient is φ = 9767760662880.

The previous prime is 10110111102097. The next prime is 10110111102131. The reversal of 10110111102101 is 10120111101101.

It is a happy number.

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 10110111102101 - 2² = 10110111102097 is a prime.

It is a super-2 number, since 2×10110111102101² (a number of 27 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 (10110111102131) 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, 1197025271 + ... + 1197033716.

It is an arithmetic number, because the mean of its divisors is an integer number (1307156207448).

Almost surely, 2^{10110111102101} is an apocalyptic number.

It is an amenable number.

10110111102101 is a deficient number, since it is larger than the sum of its proper divisors (347138557483).

10110111102101 is a wasteful number, since it uses less digits than its factorization.

10110111102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394059131.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10110111102101 its reverse (10120111101101), we get a palindrome (20230222203202).

It can be divided in two parts, 1011011 and 1102101, that added together give a palindrome (2113112).

The spelling of 10110111102101 in words is "ten trillion, one hundred ten billion, one hundred eleven million, one hundred two thousand, one hundred one".