101010000051 has 16 divisors (see below), whose sum is σ = 149749662720. Its totient is φ = 67292651880.

The previous prime is 101010000043. The next prime is 101010000083. The reversal of 101010000051 is 150000010101.

It is not a de Polignac number, because 101010000051 - 2³ = 101010000043 is a prime.

It is a super-2 number, since 2×101010000051² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101009999988 and 101010000042.

It is not an unprimeable number, because it can be changed into a prime (101010000001) 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 15 ways as a sum of consecutive naturals, for example, 1276095 + ... + 1352936.

It is an arithmetic number, because the mean of its divisors is an integer number (9359353920).

Almost surely, 2^101010000051 is an apocalyptic number.

101010000051 is a deficient number, since it is larger than the sum of its proper divisors (48739662669).

101010000051 is a wasteful number, since it uses less digits than its factorization.

101010000051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630463 (or 2630457 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 101010000051 its reverse (150000010101), we get a palindrome (251010010152).

The spelling of 101010000051 in words is "one hundred one billion, ten million, fifty-one", and thus it is an aban number.