1010122200113 has 8 divisors (see below), whose sum is σ = 1099038588648. Its totient is φ = 922807908864.

The previous prime is 1010122200091. The next prime is 1010122200169. The reversal of 1010122200113 is 3110022210101.

It can be written as a sum of positive squares in 4 ways, for example, as 177597344929 + 832524855184 = 421423^2 + 912428^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010122200113 is a prime.

It is a super-3 number, since 3×1010122200113³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1010122200413) 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, 400523006 + ... + 400525527.

It is an arithmetic number, because the mean of its divisors is an integer number (137379823581).

Almost surely, 2^{1010122200113} is an apocalyptic number.

1010122200113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1010122200113 is a deficient number, since it is larger than the sum of its proper divisors (88916388535).

1010122200113 is an equidigital number, since it uses as much as digits as its factorization.

1010122200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801048643.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1010122200113 its reverse (3110022210101), we get a palindrome (4120144410214).

The spelling of 1010122200113 in words is "one trillion, ten billion, one hundred twenty-two million, two hundred thousand, one hundred thirteen".