101344341120 has 256 divisors, whose sum is σ = 354451697280. Its totient is φ = 24425431040.

The previous prime is 101344341103. The next prime is 101344341151. The reversal of 101344341120 is 21143443101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3639892 + ... + 3667628.

Almost surely, 2^101344341120 is an apocalyptic number.

101344341120 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 101344341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177225848640).

101344341120 is an abundant number, since it is smaller than the sum of its proper divisors (253107356160).

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

101344341120 is a wasteful number, since it uses less digits than its factorization.

101344341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27943 (or 27931 counting only the distinct ones).

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

Adding to 101344341120 its reverse (21143443101), we get a palindrome (122487784221).

The spelling of 101344341120 in words is "one hundred one billion, three hundred forty-four million, three hundred forty-one thousand, one hundred twenty".