101581141090010 has 8 divisors (see below), whose sum is σ = 182846053962036. Its totient is φ = 40632456436000.

The previous prime is 101581141089977. The next prime is 101581141090061. The reversal of 101581141090010 is 10090141185101.

It is a happy number.

It is a Cunningham number, because it is equal to 10078747²+1.

It can be written as a sum of positive squares in 2 ways, for example, as 101581141090009 + 1 = 10078747^2 + 1^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5079057054491 + ... + 5079057054510.

Almost surely, 2^{101581141090010} is an apocalyptic number.

101581141090010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101581141090010 is a deficient number, since it is larger than the sum of its proper divisors (81264912872026).

101581141090010 is a wasteful number, since it uses less digits than its factorization.

101581141090010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10158114109008.

The product of its (nonzero) digits is 1440, while the sum is 32.

The spelling of 101581141090010 in words is "one hundred one trillion, five hundred eighty-one billion, one hundred forty-one million, ninety thousand, ten".