102113224001 has 4 divisors (see below), whose sum is σ = 102267707604. Its totient is φ = 101958740400.

The previous prime is 102113223983. The next prime is 102113224013. The reversal of 102113224001 is 100422311201.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100422311201 = 479 ⋅209649919.

It can be written as a sum of positive squares in 2 ways, for example, as 90024001600 + 12089222401 = 300040^2 + 109951^2 .

It is a cyclic number.

It is not a de Polignac number, because 102113224001 - 2¹⁸ = 102112961857 is a prime.

It is a super-2 number, since 2×102113224001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102113224091) 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, 77240810 + ... + 77242131.

It is an arithmetic number, because the mean of its divisors is an integer number (25566926901).

Almost surely, 2^102113224001 is an apocalyptic number.

It is an amenable number.

102113224001 is a deficient number, since it is larger than the sum of its proper divisors (154483603).

102113224001 is an equidigital number, since it uses as much as digits as its factorization.

102113224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154483602.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102113224001 its reverse (100422311201), we get a palindrome (202535535202).

The spelling of 102113224001 in words is "one hundred two billion, one hundred thirteen million, two hundred twenty-four thousand, one".