101382050250 has 320 divisors, whose sum is σ = 308364376320. Its totient is φ = 24706684800.

The previous prime is 101382050233. The next prime is 101382050317. The reversal of 101382050250 is 52050283101.

It is a happy number.

101382050250 is a `hidden beast` number, since 1 + 0 + 138 + 20 + 502 + 5 + 0 = 666.

It is a super-2 number, since 2×101382050250² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27112881 + ... + 27116619.

It is an arithmetic number, because the mean of its divisors is an integer number (963638676).

Almost surely, 2^101382050250 is an apocalyptic number.

101382050250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101382050250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154182188160).

101382050250 is an abundant number, since it is smaller than the sum of its proper divisors (206982326070).

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

101382050250 is a wasteful number, since it uses less digits than its factorization.

101382050250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 101382050250 in words is "one hundred one billion, three hundred eighty-two million, fifty thousand, two hundred fifty".