100020101200013 has 8 divisors (see below), whose sum is σ = 103493149709880. Its totient is φ = 96548657990400.

The previous prime is 100020101199923. The next prime is 100020101200057. The reversal of 100020101200013 is 310002101020001.

It can be written as a sum of positive squares in 4 ways, for example, as 2522210893609 + 97497890306404 = 1588147^2 + 9874102^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100020101200013 - 2⁸ = 100020101199757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100020101199967 and 100020101200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020101200073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401198288 + ... + 401447513.

It is an arithmetic number, because the mean of its divisors is an integer number (12936643713735).

Almost surely, 2^{100020101200013} is an apocalyptic number.

It is an amenable number.

100020101200013 is a deficient number, since it is larger than the sum of its proper divisors (3473048509867).

100020101200013 is an equidigital number, since it uses as much as digits as its factorization.

100020101200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802650127.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100020101200013 its reverse (310002101020001), we get a palindrome (410022202220014).

The spelling of 100020101200013 in words is "one hundred trillion, twenty billion, one hundred one million, two hundred thousand, thirteen".