1051506016101 has 16 divisors (see below), whose sum is σ = 1558345348800. Its totient is φ = 700752614544.

The previous prime is 1051506016051. The next prime is 1051506016201. The reversal of 1051506016101 is 1016106051501.

1051506016101 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 50 + 601 + 6 + 1 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-1051506016101 is a prime.

It is a super-2 number, since 2×1051506016101² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051506016201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6906531 + ... + 7057136.

It is an arithmetic number, because the mean of its divisors is an integer number (97396584300).

Almost surely, 2^{1051506016101} is an apocalyptic number.

It is an amenable number.

1051506016101 is a deficient number, since it is larger than the sum of its proper divisors (506839332699).

1051506016101 is a wasteful number, since it uses less digits than its factorization.

1051506016101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13966465 (or 13966459 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 1051506016101 in words is "one trillion, fifty-one billion, five hundred six million, sixteen thousand, one hundred one".