102121002020011 has 16 divisors (see below), whose sum is σ = 120461035312800. Its totient is φ = 85661180656128.

The previous prime is 102121002019999. The next prime is 102121002020039. The reversal of 102121002020011 is 110020200121201.

It is a cyclic number.

It is not a de Polignac number, because 102121002020011 - 2⁹ = 102121002019499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 102121002019973 and 102121002020000.

It is not an unprimeable number, because it can be changed into a prime (102121002030011) 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, 7966993281 + ... + 7967006098.

It is an arithmetic number, because the mean of its divisors is an integer number (7528814707050).

Almost surely, 2^{102121002020011} is an apocalyptic number.

102121002020011 is a deficient number, since it is larger than the sum of its proper divisors (18340033292789).

102121002020011 is a wasteful number, since it uses less digits than its factorization.

102121002020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933999438.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102121002020011 its reverse (110020200121201), we get a palindrome (212141202141212).

The spelling of 102121002020011 in words is "one hundred two trillion, one hundred twenty-one billion, two million, twenty thousand, eleven".