101000100108 has 96 divisors (see below), whose sum is σ = 240578553600. Its totient is φ = 32973225984.

The previous prime is 101000100101. The next prime is 101000100121. The reversal of 101000100108 is 801001000101.

It is a happy number.

It is a super-2 number, since 2×101000100108² (a number of 23 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 = 101000100093 and 101000100102.

It is not an unprimeable number, because it can be changed into a prime (101000100101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124845208 + ... + 124846016.

It is an arithmetic number, because the mean of its divisors is an integer number (2506026600).

Almost surely, 2^101000100108 is an apocalyptic number.

It is an amenable number.

101000100108 is an abundant number, since it is smaller than the sum of its proper divisors (139578453492).

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

101000100108 is a wasteful number, since it uses less digits than its factorization.

101000100108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1829 counting only the distinct ones).

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

Adding to 101000100108 its reverse (801001000101), we get a palindrome (902001100209).

The spelling of 101000100108 in words is "one hundred one billion, one hundred thousand, one hundred eight".