101343042400 has 72 divisors (see below), whose sum is σ = 255384529344. Its totient is φ = 39229555200.

The previous prime is 101343042389. The next prime is 101343042407. The reversal of 101343042400 is 4240343101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101343042407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2018407 + ... + 2068006.

It is an arithmetic number, because the mean of its divisors is an integer number (3547007352).

Almost surely, 2^101343042400 is an apocalyptic number.

101343042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101343042400 is an abundant number, since it is smaller than the sum of its proper divisors (154041486944).

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

101343042400 is a wasteful number, since it uses less digits than its factorization.

101343042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086464 (or 4086451 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 101343042400 its reverse (4240343101), we get a palindrome (105583385501).

The spelling of 101343042400 in words is "one hundred one billion, three hundred forty-three million, forty-two thousand, four hundred".