101014225200 has 1080 divisors, whose sum is σ = 428764557312. Its totient is φ = 22769994240.

The previous prime is 101014225133. The next prime is 101014225219. The reversal of 101014225200 is 2522410101.

101014225200 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 142 + 2 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 604875517 + ... + 604875683.

Almost surely, 2^101014225200 is an apocalyptic number.

101014225200 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 101014225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214382278656).

101014225200 is an abundant number, since it is smaller than the sum of its proper divisors (327750332112).

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

101014225200 is a wasteful number, since it uses less digits than its factorization.

101014225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 101014225200 its reverse (2522410101), we get a palindrome (103536635301).

The spelling of 101014225200 in words is "one hundred one billion, fourteen million, two hundred twenty-five thousand, two hundred".