101105006101 has 8 divisors (see below), whose sum is σ = 110725542144. Its totient is φ = 91555998720.

The previous prime is 101105006081. The next prime is 101105006183. The reversal of 101105006101 is 101600501101.

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 101105006101 - 2¹⁹ = 101104481813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101105003101) 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, 17879205 + ... + 17884858.

It is an arithmetic number, because the mean of its divisors is an integer number (13840692768).

Almost surely, 2^101105006101 is an apocalyptic number.

101105006101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101105006101 is a deficient number, since it is larger than the sum of its proper divisors (9620536043).

101105006101 is a wasteful number, since it uses less digits than its factorization.

101105006101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35764331.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 101105006101 its reverse (101600501101), we get a palindrome (202705507202).

The spelling of 101105006101 in words is "one hundred one billion, one hundred five million, six thousand, one hundred one".