101014340321400 has 96 divisors (see below), whose sum is σ = 341612132745600. Its totient is φ = 24488324924800.

The previous prime is 101014340321369. The next prime is 101014340321423. The reversal of 101014340321400 is 4123043410101.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7652594940 + ... + 7652608139.

It is an arithmetic number, because the mean of its divisors is an integer number (3558459716100).

Almost surely, 2^{101014340321400} is an apocalyptic number.

101014340321400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101014340321400 is an abundant number, since it is smaller than the sum of its proper divisors (240597792424200).

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

101014340321400 is a wasteful number, since it uses less digits than its factorization.

101014340321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15305203109 (or 15305203100 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101014340321400 its reverse (4123043410101), we get a palindrome (105137383731501).

The spelling of 101014340321400 in words is "one hundred one trillion, fourteen billion, three hundred forty million, three hundred twenty-one thousand, four hundred".