101320444420000 has 120 divisors (see below), whose sum is σ = 268437606747156. Its totient is φ = 37410625536000.

The previous prime is 101320444419983. The next prime is 101320444420049. The reversal of 101320444420000 is 24444023101.

It can be written as a sum of positive squares in 10 ways, for example, as 11013663491856 + 90306780928144 = 3318684^2 + 9502988^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 194587009 + ... + 195107008.

Almost surely, 2^{101320444420000} is an apocalyptic number.

101320444420000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101320444420000 is an abundant number, since it is smaller than the sum of its proper divisors (167117162327156).

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

101320444420000 is an equidigital number, since it uses as much as digits as its factorization.

101320444420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389694060 (or 389694037 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 101320444420000 its reverse (24444023101), we get a palindrome (101344888443101).

The spelling of 101320444420000 in words is "one hundred one trillion, three hundred twenty billion, four hundred forty-four million, four hundred twenty thousand".