102001111213 has 8 divisors (see below), whose sum is σ = 106452185400. Its totient is φ = 97612290048.

The previous prime is 102001111181. The next prime is 102001111217. The reversal of 102001111213 is 312111100201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4409225604 + 97591885609 = 66402^2 + 312397^2 .

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 102001111213 - 2⁵ = 102001111181 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102001111193 and 102001111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001111217) 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, 15559908 + ... + 15566461.

It is an arithmetic number, because the mean of its divisors is an integer number (13306523175).

Almost surely, 2^102001111213 is an apocalyptic number.

It is an amenable number.

102001111213 is a deficient number, since it is larger than the sum of its proper divisors (4451074187).

102001111213 is a wasteful number, since it uses less digits than its factorization.

102001111213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31126511.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102001111213 its reverse (312111100201), we get a palindrome (414112211414).

The spelling of 102001111213 in words is "one hundred two billion, one million, one hundred eleven thousand, two hundred thirteen".