101025616242 has 16 divisors (see below), whose sum is σ = 202094805600. Its totient is φ = 33667943232.

The previous prime is 101025616201. The next prime is 101025616267. The reversal of 101025616242 is 242616520101.

101025616242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101025616242³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1785367 + ... + 1841082.

It is an arithmetic number, because the mean of its divisors is an integer number (12630925350).

Almost surely, 2^101025616242 is an apocalyptic number.

101025616242 is an abundant number, since it is smaller than the sum of its proper divisors (101069189358).

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

101025616242 is a wasteful number, since it uses less digits than its factorization.

101025616242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631097.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 101025616242 in words is "one hundred one billion, twenty-five million, six hundred sixteen thousand, two hundred forty-two".