1002100002111 has 32 divisors (see below), whose sum is σ = 1601133246720. Its totient is φ = 615773882592.

The previous prime is 1002100002103. The next prime is 1002100002161. The reversal of 1002100002111 is 1112000012001.

It is a happy number.

It is not a de Polignac number, because 1002100002111 - 2³ = 1002100002103 is a prime.

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 = 1002100002093 and 1002100002102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002100002161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1850301 + ... + 2329766.

It is an arithmetic number, because the mean of its divisors is an integer number (50035413960).

Almost surely, 2^{1002100002111} is an apocalyptic number.

1002100002111 is a deficient number, since it is larger than the sum of its proper divisors (599033244609).

1002100002111 is a wasteful number, since it uses less digits than its factorization.

1002100002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180772 (or 4180766 counting only the distinct ones).

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

Adding to 1002100002111 its reverse (1112000012001), we get a palindrome (2114100014112).

The spelling of 1002100002111 in words is "one trillion, two billion, one hundred million, two thousand, one hundred eleven".