101005100051 has 4 divisors (see below), whose sum is σ = 101048138232. Its totient is φ = 100962061872.

The previous prime is 101005100029. The next prime is 101005100071. The reversal of 101005100051 is 150001500101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 150001500101 = 17 ⋅8823617653.

It is a cyclic number.

It is not a de Polignac number, because 101005100051 - 2¹⁴ = 101005083667 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101005099999 and 101005100035.

It is not an unprimeable number, because it can be changed into a prime (101005100071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21515570 + ... + 21520263.

It is an arithmetic number, because the mean of its divisors is an integer number (25262034558).

Almost surely, 2^101005100051 is an apocalyptic number.

101005100051 is a deficient number, since it is larger than the sum of its proper divisors (43038181).

101005100051 is an equidigital number, since it uses as much as digits as its factorization.

101005100051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43038180.

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 101005100051 its reverse (150001500101), we get a palindrome (251006600152).

The spelling of 101005100051 in words is "one hundred one billion, five million, one hundred thousand, fifty-one".