101314220213040 has 80 divisors (see below), whose sum is σ = 322562571409248. Its totient is φ = 26286932809728.

The previous prime is 101314220213033. The next prime is 101314220213051. The reversal of 101314220213040 is 40312022413101.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101314220213040.

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 15 ways as a sum of consecutive naturals, for example, 5704620637 + ... + 5704638396.

Almost surely, 2^{101314220213040} is an apocalyptic number.

101314220213040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101314220213040 is an abundant number, since it is smaller than the sum of its proper divisors (221248351196208).

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

101314220213040 is a wasteful number, since it uses less digits than its factorization.

101314220213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11409259086 (or 11409259080 counting only the distinct ones).

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

Adding to 101314220213040 its reverse (40312022413101), we get a palindrome (141626242626141).

The spelling of 101314220213040 in words is "one hundred one trillion, three hundred fourteen billion, two hundred twenty million, two hundred thirteen thousand, forty".