101110100103200 has 144 divisors (see below), whose sum is σ = 252106635392640. Its totient is φ = 39580420408320.

The previous prime is 101110100103161. The next prime is 101110100103211. The reversal of 101110100103200 is 2301001011101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511750031 + ... + 511947569.

It is an arithmetic number, because the mean of its divisors is an integer number (1750740523560).

Almost surely, 2^{101110100103200} is an apocalyptic number.

101110100103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110100103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126053317696320).

101110100103200 is an abundant number, since it is smaller than the sum of its proper divisors (150996535289440).

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

101110100103200 is a wasteful number, since it uses less digits than its factorization.

101110100103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211219 (or 211206 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101110100103200 its reverse (2301001011101), we get a palindrome (103411101114301).

The spelling of 101110100103200 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred three thousand, two hundred".