10100000100108 has 24 divisors (see below), whose sum is σ = 23591818118512. Its totient is φ = 3363073668864.

The previous prime is 10100000100101. The next prime is 10100000100121. The reversal of 10100000100108 is 80100100000101.

It is a happy number.

It is a super-2 number, since 2×10100000100108² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10100000100093 and 10100000100102.

It is not an unprimeable number, because it can be changed into a prime (10100000100101) 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 7 ways as a sum of consecutive naturals, for example, 449117185 + ... + 449139672.

Almost surely, 2^{10100000100108} is an apocalyptic number.

It is an amenable number.

10100000100108 is an abundant number, since it is smaller than the sum of its proper divisors (13491818018404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100000100108 is a wasteful number, since it uses less digits than its factorization.

10100000100108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898257801 (or 898257799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100000100108 its reverse (80100100000101), we get a palindrome (90200100100209).

The spelling of 10100000100108 in words is "ten trillion, one hundred billion, one hundred thousand, one hundred eight".