101241440124000 has 384 divisors, whose sum is σ = 365020486871040. Its totient is φ = 24326177792000.

The previous prime is 101241440123987. The next prime is 101241440124053. The reversal of 101241440124000 is 421044142101.

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

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, 11522281 + ... + 18309719.

It is an arithmetic number, because the mean of its divisors is an integer number (950574184560).

Almost surely, 2^{101241440124000} is an apocalyptic number.

101241440124000 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 101241440124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182510243435520).

101241440124000 is an abundant number, since it is smaller than the sum of its proper divisors (263779046747040).

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

101241440124000 is a wasteful number, since it uses less digits than its factorization.

101241440124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787591 (or 6787573 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 101241440124000 its reverse (421044142101), we get a palindrome (101662484266101).

The spelling of 101241440124000 in words is "one hundred one trillion, two hundred forty-one billion, four hundred forty million, one hundred twenty-four thousand".