101116420 has 36 divisors (see below), whose sum is σ = 219456972. Its totient is φ = 39134400.

The previous prime is 101116387. The next prime is 101116427. The reversal of 101116420 is 24611101.

It can be written as a sum of positive squares in 2 ways, for example, as 56280004 + 44836416 = 7502^2 + 6696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101116394 and 101116403.

It is not an unprimeable number, because it can be changed into a prime (101116427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16590 + ... + 21850.

It is an arithmetic number, because the mean of its divisors is an integer number (6096027).

Almost surely, 2^101116420 is an apocalyptic number.

101116420 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 101116420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728486).

101116420 is an abundant number, since it is smaller than the sum of its proper divisors (118340552).

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

101116420 is a wasteful number, since it uses less digits than its factorization.

101116420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101116420 is about 10055.6660644634. Note that the first 3 decimals coincide. The cubic root of 101116420 is about 465.8798157525.

Adding to 101116420 its reverse (24611101), we get a palindrome (125727521).

The spelling of 101116420 in words is "one hundred one million, one hundred sixteen thousand, four hundred twenty".