101112145200 has 180 divisors, whose sum is σ = 382786219608. Its totient is φ = 24512025600.

The previous prime is 101112145187. The next prime is 101112145201. The reversal of 101112145200 is 2541211101.

101112145200 is a `hidden beast` number, since 10 + 11 + 121 + 4 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101112145201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1237069 + ... + 1316268.

Almost surely, 2^101112145200 is an apocalyptic number.

101112145200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112145200 is an abundant number, since it is smaller than the sum of its proper divisors (281674074408).

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

101112145200 is a wasteful number, since it uses less digits than its factorization.

101112145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553372 (or 2553358 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 101112145200 its reverse (2541211101), we get a palindrome (103653356301).

The spelling of 101112145200 in words is "one hundred one billion, one hundred twelve million, one hundred forty-five thousand, two hundred".