101110103200 has 36 divisors (see below), whose sum is σ = 246835041390. Its totient is φ = 40444040960.

The previous prime is 101110103197. The next prime is 101110103221. The reversal of 101110103200 is 2301011101.

It can be written as a sum of positive squares in 3 ways, for example, as 92151102096 + 8959001104 = 303564^2 + 94652^2 .

It is a super-2 number, since 2×101110103200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63193015 + ... + 63194614.

Almost surely, 2^101110103200 is an apocalyptic number.

101110103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110103200 is an abundant number, since it is smaller than the sum of its proper divisors (145724938190).

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

101110103200 is a wasteful number, since it uses less digits than its factorization.

101110103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126387649 (or 126387636 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101110103200 its reverse (2301011101), we get a palindrome (103411114301).

The spelling of 101110103200 in words is "one hundred one billion, one hundred ten million, one hundred three thousand, two hundred".