101011110000100 has 72 divisors (see below), whose sum is σ = 219951581025960. Its totient is φ = 40264829537280.

The previous prime is 101011110000091. The next prime is 101011110000103. The reversal of 101011110000100 is 1000011110101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 417150640384 + 100593959359716 = 645872^2 + 10029654^2 .

It is not an unprimeable number, because it can be changed into a prime (101011110000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859398136 + ... + 859515664.

It is an arithmetic number, because the mean of its divisors is an integer number (3054883069805).

Almost surely, 2^{101011110000100} is an apocalyptic number.

101011110000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011110000100 is an abundant number, since it is smaller than the sum of its proper divisors (118940471025860).

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

101011110000100 is a wasteful number, since it uses less digits than its factorization.

101011110000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147169 (or 147162 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101011110000100 its reverse (1000011110101), we get a palindrome (102011121110201).

The spelling of 101011110000100 in words is "one hundred one trillion, eleven billion, one hundred ten million, one hundred", and thus it is an aban number.