1010501005105 has 16 divisors (see below), whose sum is σ = 1259798838480. Its totient is φ = 777174995968.

The previous prime is 1010501005097. The next prime is 1010501005109. The reversal of 1010501005105 is 5015001050101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 82700530929 + 927800474176 = 287577^2 + 963224^2 .

It is not a de Polignac number, because 1010501005105 - 2³ = 1010501005097 is a prime.

It is a super-2 number, since 2×1010501005105² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010501005109) 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, 14921092 + ... + 14988661.

It is an arithmetic number, because the mean of its divisors is an integer number (78737427405).

Almost surely, 2^{1010501005105} is an apocalyptic number.

It is an amenable number.

1010501005105 is a deficient number, since it is larger than the sum of its proper divisors (249297833375).

1010501005105 is a wasteful number, since it uses less digits than its factorization.

1010501005105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29910020.

The product of its (nonzero) digits is 125, while the sum is 19.

Adding to 1010501005105 its reverse (5015001050101), we get a palindrome (6025502055206).

The spelling of 1010501005105 in words is "one trillion, ten billion, five hundred one million, five thousand, one hundred five".