101456342443400 has 96 divisors (see below), whose sum is σ = 269634433333440. Its totient is φ = 34778523605760.

The previous prime is 101456342443387. The next prime is 101456342443411. The reversal of 101456342443400 is 4344243654101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709214 + ... + 14262386.

It is an arithmetic number, because the mean of its divisors is an integer number (2808692013890).

Almost surely, 2^{101456342443400} is an apocalyptic number.

101456342443400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101456342443400 is an abundant number, since it is smaller than the sum of its proper divisors (168178090890040).

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

101456342443400 is a wasteful number, since it uses less digits than its factorization.

101456342443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13558543 (or 13558534 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

The spelling of 101456342443400 in words is "one hundred one trillion, four hundred fifty-six billion, three hundred forty-two million, four hundred forty-three thousand, four hundred".