101011600 has 60 divisors (see below), whose sum is σ = 255472240. Its totient is φ = 38275200.

The previous prime is 101011571. The next prime is 101011621. The reversal of 101011600 is 6110101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 955 + ... + 14245.

Almost surely, 2^101011600 is an apocalyptic number.

101011600 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 101011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127736120).

101011600 is an abundant number, since it is smaller than the sum of its proper divisors (154460640).

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

101011600 is a wasteful number, since it uses less digits than its factorization.

101011600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13328 (or 13317 counting only the distinct ones).

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

The square root of 101011600 is about 10050.4527261213. The cubic root of 101011600 is about 465.7187789131.

Adding to 101011600 its reverse (6110101), we get a palindrome (107121701).

The spelling of 101011600 in words is "one hundred one million, eleven thousand, six hundred".