1002211102101 has 24 divisors (see below), whose sum is σ = 1473014048800. Its totient is φ = 605660188320.

The previous prime is 1002211102037. The next prime is 1002211102133. The reversal of 1002211102101 is 1012011122001.

It is not a de Polignac number, because 1002211102101 - 2⁶ = 1002211102037 is a prime.

It is a super-2 number, since 2×1002211102101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002211104101) 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, 3828775 + ... + 4082148.

Almost surely, 2^{1002211102101} is an apocalyptic number.

1002211102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002211102101 is a deficient number, since it is larger than the sum of its proper divisors (470802946699).

1002211102101 is a wasteful number, since it uses less digits than its factorization.

1002211102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7911297 (or 7911286 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002211102101 its reverse (1012011122001), we get a palindrome (2014222224102).

The spelling of 1002211102101 in words is "one trillion, two billion, two hundred eleven million, one hundred two thousand, one hundred one".