101022213122113 has 4 divisors (see below), whose sum is σ = 101397760383060. Its totient is φ = 100646665861168.

The previous prime is 101022213122111. The next prime is 101022213122137. The reversal of 101022213122113 is 311221312220101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 60197627416369 + 40824585705744 = 7758713^2 + 6389412^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022213122113 - 2¹ = 101022213122111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022213122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187773630070 + ... + 187773630607.

It is an arithmetic number, because the mean of its divisors is an integer number (25349440095765).

Almost surely, 2^{101022213122113} is an apocalyptic number.

It is an amenable number.

101022213122113 is a deficient number, since it is larger than the sum of its proper divisors (375547260947).

101022213122113 is an equidigital number, since it uses as much as digits as its factorization.

101022213122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375547260946.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101022213122113 its reverse (311221312220101), we get a palindrome (412243525342214).

The spelling of 101022213122113 in words is "one hundred one trillion, twenty-two billion, two hundred thirteen million, one hundred twenty-two thousand, one hundred thirteen".