101123112330240 has 2816 divisors, whose sum is σ = 445169443332096. Its totient is φ = 18914947891200.

The previous prime is 101123112330217. The next prime is 101123112330257. The reversal of 101123112330240 is 42033211321101.

101123112330240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101123112330240.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 128491883127 + ... + 128491883913.

Almost surely, 2^{101123112330240} is an apocalyptic number.

101123112330240 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 101123112330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222584721666048).

101123112330240 is an abundant number, since it is smaller than the sum of its proper divisors (344046331001856).

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

101123112330240 is a wasteful number, since it uses less digits than its factorization.

101123112330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101123112330240 its reverse (42033211321101), we get a palindrome (143156323651341).

The spelling of 101123112330240 in words is "one hundred one trillion, one hundred twenty-three billion, one hundred twelve million, three hundred thirty thousand, two hundred forty".