101150011005652 has 192 divisors, whose sum is σ = 214271785728000. Its totient is φ = 40867051438080.

The previous prime is 101150011005559. The next prime is 101150011005721. The reversal of 101150011005652 is 256500110051101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 101150011005652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4381242453 + ... + 4381265539.

It is an arithmetic number, because the mean of its divisors is an integer number (1115998884000).

Almost surely, 2^{101150011005652} 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 101150011005652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107135892864000).

101150011005652 is an abundant number, since it is smaller than the sum of its proper divisors (113121774722348).

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

101150011005652 is a wasteful number, since it uses less digits than its factorization.

101150011005652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23834 (or 23832 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 28.

Adding to 101150011005652 its reverse (256500110051101), we get a palindrome (357650121056753).

The spelling of 101150011005652 in words is "one hundred one trillion, one hundred fifty billion, eleven million, five thousand, six hundred fifty-two".