101025613312 has 320 divisors, whose sum is σ = 241148565504. Its totient is φ = 41836216320.

The previous prime is 101025613307. The next prime is 101025613411. The reversal of 101025613312 is 213316520101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 291139923 + ... + 291140269.

Almost surely, 2^101025613312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101025613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120574282752).

101025613312 is an abundant number, since it is smaller than the sum of its proper divisors (140122952192).

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

101025613312 is a wasteful number, since it uses less digits than its factorization.

101025613312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 101025613312 in words is "one hundred one billion, twenty-five million, six hundred thirteen thousand, three hundred twelve".