101141566312240 has 160 divisors (see below), whose sum is σ = 262490733267840. Its totient is φ = 36045832323072.

The previous prime is 101141566312229. The next prime is 101141566312243. The reversal of 101141566312240 is 42213665141101.

It is a self number, because there is not a number n which added to its sum of digits gives 101141566312240.

It is not an unprimeable number, because it can be changed into a prime (101141566312243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13632985 + ... + 19701304.

It is an arithmetic number, because the mean of its divisors is an integer number (1640567082924).

Almost surely, 2^{101141566312240} is an apocalyptic number.

101141566312240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101141566312240 is an abundant number, since it is smaller than the sum of its proper divisors (161349166955600).

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

101141566312240 is a wasteful number, since it uses less digits than its factorization.

101141566312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33334439 (or 33334433 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 101141566312240 in words is "one hundred one trillion, one hundred forty-one billion, five hundred sixty-six million, three hundred twelve thousand, two hundred forty".