101000101000100 has 18 divisors (see below), whose sum is σ = 219170219170434. Its totient is φ = 40400040400000.

The previous prime is 101000101000091. The next prime is 101000101000121. The reversal of 101000101000100 is 1000101000101.

It can be written as a sum of positive squares in 3 ways, for example, as 34399257247744 + 66600843752356 = 5865088^2 + 8160934^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505000504901 + ... + 505000505100.

Almost surely, 2^{101000101000100} is an apocalyptic number.

101000101000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000101000100 is an abundant number, since it is smaller than the sum of its proper divisors (118170118170334).

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

101000101000100 is a wasteful number, since it uses less digits than its factorization.

101000101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010001010015 (or 1010001010008 counting only the distinct ones).

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

Adding to 101000101000100 its reverse (1000101000101), we get a palindrome (102000202000201).

Subtracting from 101000101000100 its reverse (1000101000101), we obtain a palindrome (99999999999999).

The spelling of 101000101000100 in words is "one hundred one trillion, one hundred one million, one hundred", and thus it is an aban number.