101110001100100 has 18 divisors (see below), whose sum is σ = 219408702387434. Its totient is φ = 40444000440000.

The previous prime is 101110001100091. The next prime is 101110001100161. The reversal of 101110001100100 is 1001100011101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 22511456901376 + 78598544198724 = 4744624^2 + 8865582^2 .

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, 505550005401 + ... + 505550005600.

Almost surely, 2^{101110001100100} is an apocalyptic number.

101110001100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110001100100 is an abundant number, since it is smaller than the sum of its proper divisors (118298701287334).

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

101110001100100 is a wasteful number, since it uses less digits than its factorization.

101110001100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011100011015 (or 1011100011008 counting only the distinct ones).

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

Adding to 101110001100100 its reverse (1001100011101), we get a palindrome (102111101111201).

The spelling of 101110001100100 in words is "one hundred one trillion, one hundred ten billion, one million, one hundred thousand, one hundred".