101341200 has 120 divisors (see below), whose sum is σ = 329046400. Its totient is φ = 26657280.

The previous prime is 101341183. The next prime is 101341213. The reversal of 101341200 is 2143101.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94266 + ... + 95334.

Almost surely, 2^101341200 is an apocalyptic number.

101341200 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 101341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164523200).

101341200 is an abundant number, since it is smaller than the sum of its proper divisors (227705200).

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

101341200 is a wasteful number, since it uses less digits than its factorization.

101341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101341200 is about 10066.8366431566. The cubic root of 101341200 is about 466.2247744428.

Adding to 101341200 its reverse (2143101), we get a palindrome (103484301).

The spelling of 101341200 in words is "one hundred one million, three hundred forty-one thousand, two hundred".