102210121002001 has 8 divisors (see below), whose sum is σ = 102732079956264. Its totient is φ = 101688193622400.

The previous prime is 102210121001971. The next prime is 102210121002191. The reversal of 102210121002001 is 100200121012201.

It can be written as a sum of positive squares in 4 ways, for example, as 2356547361025 + 99853573640976 = 1535105^2 + 9992676^2 .

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 102210121002001 - 2⁵ = 102210121001969 is a prime.

It is a super-3 number, since 3×102210121002001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102210121006001) 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, 1389300 + ... + 14364901.

It is an arithmetic number, because the mean of its divisors is an integer number (12841509994533).

Almost surely, 2^{102210121002001} is an apocalyptic number.

It is an amenable number.

102210121002001 is a deficient number, since it is larger than the sum of its proper divisors (521958954263).

102210121002001 is a wasteful number, since it uses less digits than its factorization.

102210121002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15787331.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102210121002001 its reverse (100200121012201), we get a palindrome (202410242014202).

The spelling of 102210121002001 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty-one million, two thousand, one".