101141566146 has 48 divisors (see below), whose sum is σ = 226611590400. Its totient is φ = 32568259680.

The previous prime is 101141566133. The next prime is 101141566151. The reversal of 101141566146 is 641665141101.

101141566146 is a `hidden beast` number, since 1 + 0 + 11 + 41 + 566 + 1 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101141566146.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153180 + ... + 475128.

It is an arithmetic number, because the mean of its divisors is an integer number (4721074800).

Almost surely, 2^101141566146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101141566146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113305795200).

101141566146 is an abundant number, since it is smaller than the sum of its proper divisors (125470024254).

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

101141566146 is a wasteful number, since it uses less digits than its factorization.

101141566146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322551 (or 322548 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 101141566146 in words is "one hundred one billion, one hundred forty-one million, five hundred sixty-six thousand, one hundred forty-six".