2102220012113 has 16 divisors (see below), whose sum is σ = 2318631342720. Its totient is φ = 1893703238784.

The previous prime is 2102220012091. The next prime is 2102220012133. The reversal of 2102220012113 is 3112100222012.

It is a cyclic number.

It is not a de Polignac number, because 2102220012113 - 2¹⁸ = 2102219749969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102220012091 and 2102220012100.

It is not an unprimeable number, because it can be changed into a prime (2102220012133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034381 + ... + 2296602.

It is an arithmetic number, because the mean of its divisors is an integer number (144914458920).

Almost surely, 2^{2102220012113} is an apocalyptic number.

It is an amenable number.

2102220012113 is a deficient number, since it is larger than the sum of its proper divisors (216411330607).

2102220012113 is a wasteful number, since it uses less digits than its factorization.

2102220012113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332168.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2102220012113 its reverse (3112100222012), we get a palindrome (5214320234125).

The spelling of 2102220012113 in words is "two trillion, one hundred two billion, two hundred twenty million, twelve thousand, one hundred thirteen".