2101000202113 has 2 divisors, whose sum is σ = 2101000202114. Its totient is φ = 2101000202112.

The previous prime is 2101000202107. The next prime is 2101000202173. The reversal of 2101000202113 is 3112020001012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1439587229584 + 661412972529 = 1199828^2 + 813273^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101000202113 is a prime.

It is a super-3 number, since 3×2101000202113³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101000202093 and 2101000202102.

It is not a weakly prime, because it can be changed into another prime (2101000202173) 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 as a sum of consecutive naturals, namely, 1050500101056 + 1050500101057.

It is an arithmetic number, because the mean of its divisors is an integer number (1050500101057).

Almost surely, 2^{2101000202113} is an apocalyptic number.

It is an amenable number.

2101000202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101000202113 is an equidigital number, since it uses as much as digits as its factorization.

2101000202113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2101000202113 its reverse (3112020001012), we get a palindrome (5213020203125).

The spelling of 2101000202113 in words is "two trillion, one hundred one billion, two hundred two thousand, one hundred thirteen".