101441314100 has 108 divisors (see below), whose sum is σ = 256541767776. Its totient is φ = 34715378880.

The previous prime is 101441314099. The next prime is 101441314103. The reversal of 101441314100 is 1413144101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101441314103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2661377 + ... + 2699223.

Almost surely, 2^101441314100 is an apocalyptic number.

101441314100 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 101441314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128270883888).

101441314100 is an abundant number, since it is smaller than the sum of its proper divisors (155100453676).

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

101441314100 is a wasteful number, since it uses less digits than its factorization.

101441314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38422 (or 38408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101441314100 its reverse (1413144101), we get a palindrome (102854458201).

The spelling of 101441314100 in words is "one hundred one billion, four hundred forty-one million, three hundred fourteen thousand, one hundred".