2101022000541 has 12 divisors (see below), whose sum is σ = 3116831436732. Its totient is φ = 1362825081216.

The previous prime is 2101022000527. The next prime is 2101022000659. The reversal of 2101022000541 is 1450002201012.

2101022000541 is a `hidden beast` number, since 2 + 1 + 0 + 102 + 20 + 0 + 0 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1761913771641 + 339108228900 = 1327371^2 + 582330^2 .

It is not a de Polignac number, because 2101022000541 - 2⁹ = 2101022000029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101022000041) 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 11 ways as a sum of consecutive naturals, for example, 3154687356 + ... + 3154688021.

It is an arithmetic number, because the mean of its divisors is an integer number (259735953061).

Almost surely, 2^{2101022000541} is an apocalyptic number.

It is an amenable number.

2101022000541 is a deficient number, since it is larger than the sum of its proper divisors (1015809436191).

2101022000541 is a wasteful number, since it uses less digits than its factorization.

2101022000541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309375420 (or 6309375417 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 2101022000541 its reverse (1450002201012), we get a palindrome (3551024201553).

The spelling of 2101022000541 in words is "two trillion, one hundred one billion, twenty-two million, five hundred forty-one", and thus it is an aban number.