1002210122001 has 48 divisors (see below), whose sum is σ = 1487070063360. Its totient is φ = 599852008800.

The previous prime is 1002210121987. The next prime is 1002210122029.

1002210122001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1002210122001 - 2³³ = 993620187409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002210120001) 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 47 ways as a sum of consecutive naturals, for example, 110237466 + ... + 110246556.

It is an arithmetic number, because the mean of its divisors is an integer number (30980626320).

Almost surely, 2^{1002210122001} is an apocalyptic number.

1002210122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002210122001 is a deficient number, since it is larger than the sum of its proper divisors (484859941359).

1002210122001 is a wasteful number, since it uses less digits than its factorization.

1002210122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12858 (or 12847 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1002210 and 122001, that added together give a palindrome (1124211).

The spelling of 1002210122001 in words is "one trillion, two billion, two hundred ten million, one hundred twenty-two thousand, one".