101011143110240 has 384 divisors, whose sum is σ = 276391282406400. Its totient is φ = 34526216355840.

The previous prime is 101011143110209. The next prime is 101011143110257. The reversal of 101011143110240 is 42011341110101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 587157356 + ... + 587329364.

It is an arithmetic number, because the mean of its divisors is an integer number (719768964600).

Almost surely, 2^{101011143110240} is an apocalyptic number.

101011143110240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011143110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138195641203200).

101011143110240 is an abundant number, since it is smaller than the sum of its proper divisors (175380139296160).

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

101011143110240 is a wasteful number, since it uses less digits than its factorization.

101011143110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172310 (or 172302 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 101011143110240 its reverse (42011341110101), we get a palindrome (143022484220341).

The spelling of 101011143110240 in words is "one hundred one trillion, eleven billion, one hundred forty-three million, one hundred ten thousand, two hundred forty".