101150505114246 has 192 divisors, whose sum is σ = 255660780525696. Its totient is φ = 28307349504000.

The previous prime is 101150505114233. The next prime is 101150505114301. The reversal of 101150505114246 is 642411505051101.

101150505114246 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 5 + 0 + 505 + 1 + 142 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101150505114246.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3250217566 + ... + 3250248686.

It is an arithmetic number, because the mean of its divisors is an integer number (1331566565238).

Almost surely, 2^{101150505114246} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101150505114246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127830390262848).

101150505114246 is an abundant number, since it is smaller than the sum of its proper divisors (154510275411450).

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

101150505114246 is a wasteful number, since it uses less digits than its factorization.

101150505114246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33967 (or 33964 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 101150505114246 in words is "one hundred one trillion, one hundred fifty billion, five hundred five million, one hundred fourteen thousand, two hundred forty-six".