100022200013 has 8 divisors (see below), whose sum is σ = 102437449848. Its totient is φ = 97626507264.

The previous prime is 100022200009. The next prime is 100022200037. The reversal of 100022200013 is 310002220001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24914412649 + 75107787364 = 157843^2 + 274058^2 .

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 100022200013 - 2² = 100022200009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022199967 and 100022200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022200043) 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, 4878920 + ... + 4899377.

It is an arithmetic number, because the mean of its divisors is an integer number (12804681231).

Almost surely, 2^100022200013 is an apocalyptic number.

It is an amenable number.

100022200013 is a deficient number, since it is larger than the sum of its proper divisors (2415249835).

100022200013 is an equidigital number, since it uses as much as digits as its factorization.

100022200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9778543.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100022200013 its reverse (310002220001), we get a palindrome (410024420014).

It can be divided in two parts, 10002220001 and 3, that multiplied together give a palindrome (30006660003).

The spelling of 100022200013 in words is "one hundred billion, twenty-two million, two hundred thousand, thirteen".