101111101200 has 150 divisors (see below), whose sum is σ = 362879744634. Its totient is φ = 26962951680.

The previous prime is 101111101199. The next prime is 101111101243. The reversal of 101111101200 is 2101111101.

It can be written as a sum of positive squares in 3 ways, for example, as 30372124176 + 70738977024 = 174276^2 + 265968^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1527957 + ... + 1592756.

Almost surely, 2^101111101200 is an apocalyptic number.

101111101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111101200 is an abundant number, since it is smaller than the sum of its proper divisors (261768643434).

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

101111101200 is a wasteful number, since it uses less digits than its factorization.

101111101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120743 (or 3120723 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101111101200 its reverse (2101111101), we get a palindrome (103212212301).

Subtracting from 101111101200 its reverse (2101111101), we obtain a palindrome (99009990099).

The spelling of 101111101200 in words is "one hundred one billion, one hundred eleven million, one hundred one thousand, two hundred".