10100222000013 has 4 divisors (see below), whose sum is σ = 13466962666688. Its totient is φ = 6733481333340.

The previous prime is 10100221999997. The next prime is 10100222000041. The reversal of 10100222000013 is 31000022200101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10100222000013 - 2⁴ = 10100221999997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100222000083) 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 3 ways as a sum of consecutive naturals, for example, 1683370333333 + ... + 1683370333338.

It is an arithmetic number, because the mean of its divisors is an integer number (3366740666672).

Almost surely, 2^{10100222000013} is an apocalyptic number.

It is an amenable number.

10100222000013 is a deficient number, since it is larger than the sum of its proper divisors (3366740666675).

10100222000013 is an equidigital number, since it uses as much as digits as its factorization.

10100222000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366740666674.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10100222000013 its reverse (31000022200101), we get a palindrome (41100244200114).

The spelling of 10100222000013 in words is "ten trillion, one hundred billion, two hundred twenty-two million, thirteen", and thus it is an aban number.