101105006005051 has 16 divisors (see below), whose sum is σ = 108696450447360. Its totient is φ = 93740789592000.

The previous prime is 101105006005049. The next prime is 101105006005097. The reversal of 101105006005051 is 150500600501101.

It is not a de Polignac number, because 101105006005051 - 2¹ = 101105006005049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101105006005001) 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, 13988590 + ... + 19947196.

It is an arithmetic number, because the mean of its divisors is an integer number (6793528152960).

Almost surely, 2^{101105006005051} is an apocalyptic number.

101105006005051 is a deficient number, since it is larger than the sum of its proper divisors (7591444442309).

101105006005051 is a wasteful number, since it uses less digits than its factorization.

101105006005051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5977674.

The product of its (nonzero) digits is 750, while the sum is 25.

Adding to 101105006005051 its reverse (150500600501101), we get a palindrome (251605606506152).

The spelling of 101105006005051 in words is "one hundred one trillion, one hundred five billion, six million, five thousand, fifty-one".