101053305152 has 112 divisors (see below), whose sum is σ = 216801435840. Its totient is φ = 46578696192.

The previous prime is 101053305131. The next prime is 101053305161. The reversal of 101053305152 is 251503350101.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14480288 + ... + 14487264.

Almost surely, 2^101053305152 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 101053305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108400717920).

101053305152 is an abundant number, since it is smaller than the sum of its proper divisors (115748130688).

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

101053305152 is a wasteful number, since it uses less digits than its factorization.

101053305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328 (or 7318 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

Adding to 101053305152 its reverse (251503350101), we get a palindrome (352556655253).

The spelling of 101053305152 in words is "one hundred one billion, fifty-three million, three hundred five thousand, one hundred fifty-two".