10110000102101 has 16 divisors (see below), whose sum is σ = 10159391088000. Its totient is φ = 10060698385920.

The previous prime is 10110000102073. The next prime is 10110000102109. The reversal of 10110000102101 is 10120100001101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10110000102101 is a prime.

It is a super-2 number, since 2×10110000102101² (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 (10110000102109) 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, 1495337561 + ... + 1495344321.

It is an arithmetic number, because the mean of its divisors is an integer number (634961943000).

Almost surely, 2^{10110000102101} is an apocalyptic number.

It is an amenable number.

10110000102101 is a deficient number, since it is larger than the sum of its proper divisors (49390985899).

10110000102101 is a wasteful number, since it uses less digits than its factorization.

10110000102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12316.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10110000102101 its reverse (10120100001101), we get a palindrome (20230100103202).

The spelling of 10110000102101 in words is "ten trillion, one hundred ten billion, one hundred two thousand, one hundred one".