101101102010240 has 128 divisors (see below), whose sum is σ = 245143787303520. Its totient is φ = 39863983472640.

The previous prime is 101101102010239. The next prime is 101101102010257. The reversal of 101101102010240 is 42010201101101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82412555 + ... + 83630325.

Almost surely, 2^{101101102010240} is an apocalyptic number.

101101102010240 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 101101102010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122571893651760).

101101102010240 is an abundant number, since it is smaller than the sum of its proper divisors (144042685293280).

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

101101102010240 is a wasteful number, since it uses less digits than its factorization.

101101102010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219640 (or 1219628 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101101102010240 its reverse (42010201101101), we get a palindrome (143111303111341).

The spelling of 101101102010240 in words is "one hundred one trillion, one hundred one billion, one hundred two million, ten thousand, two hundred forty".