102213301003001 has 8 divisors (see below), whose sum is σ = 102959677595880. Its totient is φ = 101466928672768.

The previous prime is 102213301002997. The next prime is 102213301003061. The reversal of 102213301003001 is 100300103312201.

It can be written as a sum of positive squares in 4 ways, for example, as 29710119588601 + 72503181414400 = 5450699^2 + 8514880^2 .

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 102213301003001 - 2² = 102213301002997 is a prime.

It is a super-2 number, since 2×102213301003001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102213301003061) 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, 59650145 + ... + 61339761.

It is an arithmetic number, because the mean of its divisors is an integer number (12869959699485).

Almost surely, 2^{102213301003001} is an apocalyptic number.

It is an amenable number.

102213301003001 is a deficient number, since it is larger than the sum of its proper divisors (746376592879).

102213301003001 is a wasteful number, since it uses less digits than its factorization.

102213301003001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131323.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102213301003001 its reverse (100300103312201), we get a palindrome (202513404315202).

The spelling of 102213301003001 in words is "one hundred two trillion, two hundred thirteen billion, three hundred one million, three thousand, one".