105100005011101 has 16 divisors (see below), whose sum is σ = 106826090976000. Its totient is φ = 103386143000448.

The previous prime is 105100005011087. The next prime is 105100005011123. The reversal of 105100005011101 is 101110500001501.

It is a cyclic number.

It is not a de Polignac number, because 105100005011101 - 2¹⁵ = 105100004978333 is a prime.

It is a super-2 number, since 2×105100005011101² (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 (105100005011401) 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, 172679551 + ... + 173287123.

It is an arithmetic number, because the mean of its divisors is an integer number (6676630686000).

Almost surely, 2^{105100005011101} is an apocalyptic number.

It is an amenable number.

105100005011101 is a deficient number, since it is larger than the sum of its proper divisors (1726085964899).

105100005011101 is an equidigital number, since it uses as much as digits as its factorization.

105100005011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617628.

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 105100005011101 its reverse (101110500001501), we get a palindrome (206210505012602).

The spelling of 105100005011101 in words is "one hundred five trillion, one hundred billion, five million, eleven thousand, one hundred one".