1002100100211 has 24 divisors (see below), whose sum is σ = 1654286815584. Its totient is φ = 572619513600.

The previous prime is 1002100100191. The next prime is 1002100100213. The reversal of 1002100100211 is 1120010012001.

It is a happy number.

It is not a de Polignac number, because 1002100100211 - 2⁷ = 1002100100083 is a prime.

It is a super-2 number, since 2×1002100100211² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002100100193 and 1002100100202.

It is not an unprimeable number, because it can be changed into a prime (1002100100213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7214065 + ... + 7351661.

It is an arithmetic number, because the mean of its divisors is an integer number (68928617316).

Almost surely, 2^{1002100100211} is an apocalyptic number.

1002100100211 is a deficient number, since it is larger than the sum of its proper divisors (652186715373).

1002100100211 is a wasteful number, since it uses less digits than its factorization.

1002100100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253211 (or 253208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002100100211 its reverse (1120010012001), we get a palindrome (2122110112212).

The spelling of 1002100100211 in words is "one trillion, two billion, one hundred million, one hundred thousand, two hundred eleven".