125101540242 has 144 divisors (see below), whose sum is σ = 321943894272. Its totient is φ = 34996328640.

The previous prime is 125101540231. The next prime is 125101540243. The reversal of 125101540242 is 242045101521.

It is a happy number.

125101540242 is a `hidden beast` number, since 1 + 251 + 0 + 1 + 5 + 402 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (125101540243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11992633 + ... + 12003059.

It is an arithmetic number, because the mean of its divisors is an integer number (2235721488).

Almost surely, 2^125101540242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125101540242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160971947136).

125101540242 is an abundant number, since it is smaller than the sum of its proper divisors (196842354030).

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

125101540242 is a wasteful number, since it uses less digits than its factorization.

125101540242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10733 (or 10723 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 125101540242 its reverse (242045101521), we get a palindrome (367146641763).

The spelling of 125101540242 in words is "one hundred twenty-five billion, one hundred one million, five hundred forty thousand, two hundred forty-two".