51101051000101 has 16 divisors (see below), whose sum is σ = 51702413273280. Its totient is φ = 50501572675200.

The previous prime is 51101051000059. The next prime is 51101051000107. The reversal of 51101051000101 is 10100015010115.

It is a cyclic number.

It is not a de Polignac number, because 51101051000101 - 2⁴⁵ = 15916678911269 is a prime.

It is a super-2 number, since 2×51101051000101² (a number of 28 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 (51101051000107) 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, 1128309865 + ... + 1128355153.

It is an arithmetic number, because the mean of its divisors is an integer number (3231400829580).

Almost surely, 2^{51101051000101} is an apocalyptic number.

It is an amenable number.

51101051000101 is a deficient number, since it is larger than the sum of its proper divisors (601362273179).

51101051000101 is a wasteful number, since it uses less digits than its factorization.

51101051000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65796.

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

Adding to 51101051000101 its reverse (10100015010115), we get a palindrome (61201066010216).

The spelling of 51101051000101 in words is "fifty-one trillion, one hundred one billion, fifty-one million, one hundred one", and thus it is an aban number.