100100100001010 has 16 divisors (see below), whose sum is σ = 190779014119896. Its totient is φ = 37684743529728.

The previous prime is 100100100000973. The next prime is 100100100001039. The reversal of 100100100001010 is 10100001001001.

It can be written as a sum of positive squares in 4 ways, for example, as 85280810727121 + 14819289273889 = 9234761^2 + 3849583^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 100100100000985 and 100100100001003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294412058657 + ... + 294412058996.

Almost surely, 2^{100100100001010} is an apocalyptic number.

100100100001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100100001010 is a deficient number, since it is larger than the sum of its proper divisors (90678914118886).

100100100001010 is a wasteful number, since it uses less digits than its factorization.

100100100001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588824117677.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100100001010 its reverse (10100001001001), we get a palindrome (110200101002011).

Subtracting from 100100100001010 its reverse (10100001001001), we obtain a palindrome (90000099000009).

The spelling of 100100100001010 in words is "one hundred trillion, one hundred billion, one hundred million, one thousand, ten".