101425850496 has 96 divisors (see below), whose sum is σ = 292320903420. Its totient is φ = 33755627520.

The previous prime is 101425850489. The next prime is 101425850497. The reversal of 101425850496 is 694058524101.

101425850496 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 58 + 504 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100742760000 + 683090496 = 317400^2 + 26136^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (101425850497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669756 + ... + 807108.

Almost surely, 2^101425850496 is an apocalyptic number.

101425850496 is a gapful number since it is divisible by the number (16) 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 101425850496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146160451710).

101425850496 is an abundant number, since it is smaller than the sum of its proper divisors (190895052924).

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

101425850496 is a wasteful number, since it uses less digits than its factorization.

101425850496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138014 (or 137999 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 101425850496 in words is "one hundred one billion, four hundred twenty-five million, eight hundred fifty thousand, four hundred ninety-six".