101110100800 has 84 divisors (see below), whose sum is σ = 257373264780. Its totient is φ = 39049400320.

The previous prime is 101110100753. The next prime is 101110100801. The reversal of 101110100800 is 8001011101.

It can be written as a sum of positive squares in 6 ways, for example, as 1364224 + 101108736576 = 1168^2 + 317976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110100801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1043149 + ... + 1135948.

Almost surely, 2^101110100800 is an apocalyptic number.

101110100800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110100800 is an abundant number, since it is smaller than the sum of its proper divisors (156263163980).

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

101110100800 is a wasteful number, since it uses less digits than its factorization.

101110100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179148 (or 2179133 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101110100800 its reverse (8001011101), we get a palindrome (109111111901).

The spelling of 101110100800 in words is "one hundred one billion, one hundred ten million, one hundred thousand, eight hundred".