101025200 has 120 divisors (see below), whose sum is σ = 258316800. Its totient is φ = 37889280.

The previous prime is 101025179. The next prime is 101025229. The reversal of 101025200 is 2520101.

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, 726731 + ... + 726869.

It is an arithmetic number, because the mean of its divisors is an integer number (2152640).

Almost surely, 2^101025200 is an apocalyptic number.

101025200 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 101025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129158400).

101025200 is an abundant number, since it is smaller than the sum of its proper divisors (157291600).

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

101025200 is a wasteful number, since it uses less digits than its factorization.

101025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 101025200 is about 10051.1292897863. The cubic root of 101025200 is about 465.7396791238.

Adding to 101025200 its reverse (2520101), we get a palindrome (103545301).

The spelling of 101025200 in words is "one hundred one million, twenty-five thousand, two hundred".