101016720 has 400 divisors, whose sum is σ = 427794048. Its totient is φ = 21565440.

The previous prime is 101016701. The next prime is 101016733. The reversal of 101016720 is 27610101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101016693 and 101016702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 771055 + ... + 771185.

Almost surely, 2^101016720 is an apocalyptic number.

101016720 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 101016720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213897024).

101016720 is an abundant number, since it is smaller than the sum of its proper divisors (326777328).

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

101016720 is a wasteful number, since it uses less digits than its factorization.

101016720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 101016720 is about 10050.7074377877. The cubic root of 101016720 is about 465.7266474479.

Adding to 101016720 its reverse (27610101), we get a palindrome (128626821).

The spelling of 101016720 in words is "one hundred one million, sixteen thousand, seven hundred twenty".