101161200 has 120 divisors (see below), whose sum is σ = 370377088. Its totient is φ = 23120640.

The previous prime is 101161189. The next prime is 101161243. The reversal of 101161200 is 2161101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a congruent 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, 2379 + ... + 14421.

Almost surely, 2^101161200 is an apocalyptic number.

101161200 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 101161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185188544).

101161200 is an abundant number, since it is smaller than the sum of its proper divisors (269215888).

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

101161200 is a wasteful number, since it uses less digits than its factorization.

101161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12071 (or 12060 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 101161200 is about 10057.8924233658. The cubic root of 101161200 is about 465.9485781397.

Subtracting from 101161200 its reverse (2161101), we obtain a palindrome (99000099).

The spelling of 101161200 in words is "one hundred one million, one hundred sixty-one thousand, two hundred".