101401123424000 has 288 divisors, whose sum is σ = 255021496329600. Its totient is φ = 40172389171200.

The previous prime is 101401123423991. The next prime is 101401123424021. The reversal of 101401123424000 is 424321104101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12971868092 + ... + 12971875908.

It is an arithmetic number, because the mean of its divisors is an integer number (885491306700).

Almost surely, 2^{101401123424000} is an apocalyptic number.

101401123424000 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 101401123424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127510748164800).

101401123424000 is an abundant number, since it is smaller than the sum of its proper divisors (153620372905600).

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

101401123424000 is an equidigital number, since it uses as much as digits as its factorization.

101401123424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11676 (or 11652 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 101401123424000 its reverse (424321104101), we get a palindrome (101825444528101).

The spelling of 101401123424000 in words is "one hundred one trillion, four hundred one billion, one hundred twenty-three million, four hundred twenty-four thousand".