100612261525 has 48 divisors (see below), whose sum is σ = 132880780800. Its totient is φ = 75307714560.

The previous prime is 100612261523. The next prime is 100612261531. The reversal of 100612261525 is 525162216001.

It is not a de Polignac number, because 100612261525 - 2¹ = 100612261523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100612261523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63718186 + ... + 63719764.

It is an arithmetic number, because the mean of its divisors is an integer number (2768349600).

Almost surely, 2^100612261525 is an apocalyptic number.

It is an amenable number.

100612261525 is a deficient number, since it is larger than the sum of its proper divisors (32268519275).

100612261525 is a wasteful number, since it uses less digits than its factorization.

100612261525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 100612261525 its reverse (525162216001), we get a palindrome (625774477526).

The spelling of 100612261525 in words is "one hundred billion, six hundred twelve million, two hundred sixty-one thousand, five hundred twenty-five".