1002100022111 has 16 divisors (see below), whose sum is σ = 1055522803104. Its totient is φ = 950427039744.

The previous prime is 1002100022107. The next prime is 1002100022129. The reversal of 1002100022111 is 1112200012001.

It is a cyclic number.

It is not a de Polignac number, because 1002100022111 - 2² = 1002100022107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002100022092 and 1002100022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002100022141) 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 15 ways as a sum of consecutive naturals, for example, 2045486 + ... + 2487611.

It is an arithmetic number, because the mean of its divisors is an integer number (65970175194).

Almost surely, 2^{1002100022111} is an apocalyptic number.

1002100022111 is a deficient number, since it is larger than the sum of its proper divisors (53422780993).

1002100022111 is an equidigital number, since it uses as much as digits as its factorization.

1002100022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533290.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002100022111 its reverse (1112200012001), we get a palindrome (2114300034112).

The spelling of 1002100022111 in words is "one trillion, two billion, one hundred million, twenty-two thousand, one hundred eleven".