101165425000 has 192 divisors, whose sum is σ = 242271993600. Its totient is φ = 39592800000.

The previous prime is 101165424991. The next prime is 101165425013. The reversal of 101165425000 is 524561101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357474859 + ... + 357475141.

It is an arithmetic number, because the mean of its divisors is an integer number (1261833300).

Almost surely, 2^101165425000 is an apocalyptic number.

101165425000 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 101165425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121135996800).

101165425000 is an abundant number, since it is smaller than the sum of its proper divisors (141106568600).

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

101165425000 is an equidigital number, since it uses as much as digits as its factorization.

101165425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 101165425000 its reverse (524561101), we get a palindrome (101689986101).

The spelling of 101165425000 in words is "one hundred one billion, one hundred sixty-five million, four hundred twenty-five thousand".