1010100100005 has 72 divisors (see below), whose sum is σ = 1862433891864. Its totient is φ = 525579840000.

The previous prime is 1010100099919. The next prime is 1010100100007. The reversal of 1010100100005 is 5000010010101.

It can be written as a sum of positive squares in 4 ways, for example, as 13285559169 + 996814540836 = 115263^2 + 998406^2 .

It is not a de Polignac number, because 1010100100005 - 2¹⁴ = 1010100083621 is a prime.

It is a super-2 number, since 2×1010100100005² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1010100100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010100100007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 969505 + ... + 1720505.

It is an arithmetic number, because the mean of its divisors is an integer number (25867137387).

Almost surely, 2^{1010100100005} is an apocalyptic number.

1010100100005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010100100005 is a deficient number, since it is larger than the sum of its proper divisors (852333791859).

1010100100005 is an frugal number, since it uses more digits than its factorization.

1010100100005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751071 (or 751050 counting only the distinct ones).

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

Adding to 1010100100005 its reverse (5000010010101), we get a palindrome (6010110110106).

The spelling of 1010100100005 in words is "one trillion, ten billion, one hundred million, one hundred thousand, five".