102210320122001 has 24 divisors (see below), whose sum is σ = 129363735934440. Its totient is φ = 80035995497472.

The previous prime is 102210320121991. The next prime is 102210320122007. The reversal of 102210320122001 is 100221023012201.

It can be written as a sum of positive squares in 4 ways, for example, as 433516896400 + 101776803225601 = 658420^2 + 10088449^2 .

It is not a de Polignac number, because 102210320122001 - 2⁶ = 102210320121937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102210320122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827029766 + ... + 827153343.

It is an arithmetic number, because the mean of its divisors is an integer number (5390155663935).

Almost surely, 2^{102210320122001} is an apocalyptic number.

It is an amenable number.

102210320122001 is a deficient number, since it is larger than the sum of its proper divisors (27153415812439).

102210320122001 is a wasteful number, since it uses less digits than its factorization.

102210320122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654183233 (or 1654183226 counting only the distinct ones).

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

Adding to 102210320122001 its reverse (100221023012201), we get a palindrome (202431343134202).

The spelling of 102210320122001 in words is "one hundred two trillion, two hundred ten billion, three hundred twenty million, one hundred twenty-two thousand, one".