100220120020013 has 12 divisors (see below), whose sum is σ = 116582791834080. Its totient is φ = 85902810261912.

The previous prime is 100220120019991. The next prime is 100220120020039. The reversal of 100220120020013 is 310020021022001.

It is a happy number.

It is not a de Polignac number, because 100220120020013 - 2²⁸ = 100219851584557 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100220120020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220122020013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33775178 + ... + 36622436.

It is an arithmetic number, because the mean of its divisors is an integer number (9715232652840).

Almost surely, 2^{100220120020013} is an apocalyptic number.

It is an amenable number.

100220120020013 is a deficient number, since it is larger than the sum of its proper divisors (16362671814067).

100220120020013 is an equidigital number, since it uses as much as digits as its factorization.

100220120020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565616 (or 3565609 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100220120020013 its reverse (310020021022001), we get a palindrome (410240141042014).

The spelling of 100220120020013 in words is "one hundred trillion, two hundred twenty billion, one hundred twenty million, twenty thousand, thirteen".