101141345025 has 36 divisors (see below), whose sum is σ = 207034731072. Its totient is φ = 46236042720.

The previous prime is 101141344991. The next prime is 101141345083. The reversal of 101141345025 is 520543141101.

101141345025 is a `hidden beast` number, since 10 + 1 + 14 + 134 + 502 + 5 = 666.

It is not a de Polignac number, because 101141345025 - 2³² = 96846377729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101141345025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32106789 + ... + 32109938.

It is an arithmetic number, because the mean of its divisors is an integer number (5750964752).

Almost surely, 2^101141345025 is an apocalyptic number.

101141345025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101141345025 is an abundant number, since it is smaller than the sum of its proper divisors (105893386047).

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

101141345025 is a wasteful number, since it uses less digits than its factorization.

101141345025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64216750 (or 64216742 counting only the distinct ones).

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

Adding to 101141345025 its reverse (520543141101), we get a palindrome (621684486126).

The spelling of 101141345025 in words is "one hundred one billion, one hundred forty-one million, three hundred forty-five thousand, twenty-five".