101320201001440 has 48 divisors (see below), whose sum is σ = 239372103210912. Its totient is φ = 40527550733824.

The previous prime is 101320201001401. The next prime is 101320201001441. The reversal of 101320201001440 is 44100102023101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320201001441) 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 7 ways as a sum of consecutive naturals, for example, 8258517 + ... + 16457323.

It is an arithmetic number, because the mean of its divisors is an integer number (4986918816894).

Almost surely, 2^{101320201001440} is an apocalyptic number.

101320201001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101320201001440 is an abundant number, since it is smaller than the sum of its proper divisors (138051902209472).

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

101320201001440 is an equidigital number, since it uses as much as digits as its factorization.

101320201001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276059 (or 8276051 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101320201001440 its reverse (44100102023101), we get a palindrome (145420303024541).

The spelling of 101320201001440 in words is "one hundred one trillion, three hundred twenty billion, two hundred one million, one thousand, four hundred forty".