101111320 has 32 divisors (see below), whose sum is σ = 227895120. Its totient is φ = 40374400.

The previous prime is 101111317. The next prime is 101111321. The reversal of 101111320 is 23111101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101111297 and 101111306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25470 + ... + 29170.

Almost surely, 2^101111320 is an apocalyptic number.

101111320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111320 is an abundant number, since it is smaller than the sum of its proper divisors (126783800).

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

101111320 is a wasteful number, since it uses less digits than its factorization.

101111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4391 counting only the distinct ones).

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

The square root of 101111320 is about 10055.4124728924. The cubic root of 101111320 is about 465.8719831077.

Subtracting from 101111320 its sum of digits (10), we obtain a triangular number (101111310 = T₁₄₂₂₀).

Adding to 101111320 its reverse (23111101), we get a palindrome (124222421).

The spelling of 101111320 in words is "one hundred one million, one hundred eleven thousand, three hundred twenty".