101201440704 has 448 divisors, whose sum is σ = 352846233600. Its totient is φ = 24852344832.

The previous prime is 101201440667. The next prime is 101201440727. The reversal of 101201440704 is 407044102101.

It is a tau number, because it is divible by the number of its divisors (448).

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19583529 + ... + 19588695.

It is an arithmetic number, because the mean of its divisors is an integer number (787603200).

Almost surely, 2^101201440704 is an apocalyptic number.

101201440704 is a gapful number since it is divisible by the number (14) 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 101201440704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176423116800).

101201440704 is an abundant number, since it is smaller than the sum of its proper divisors (251644792896).

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

101201440704 is a wasteful number, since it uses less digits than its factorization.

101201440704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

Adding to 101201440704 its reverse (407044102101), we get a palindrome (508245542805).

The spelling of 101201440704 in words is "one hundred one billion, two hundred one million, four hundred forty thousand, seven hundred four".