2101101012021 has 16 divisors (see below), whose sum is σ = 3057069556800. Its totient is φ = 1273010123520.

The previous prime is 2101101012007. The next prime is 2101101012047. The reversal of 2101101012021 is 1202101011012.

It is not a de Polignac number, because 2101101012021 - 2¹⁰ = 2101101010997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101101011988 and 2101101012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101101012061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9499746 + ... + 9718403.

It is an arithmetic number, because the mean of its divisors is an integer number (191066847300).

Almost surely, 2^{2101101012021} is an apocalyptic number.

It is an amenable number.

2101101012021 is a deficient number, since it is larger than the sum of its proper divisors (955968544779).

2101101012021 is a wasteful number, since it uses less digits than its factorization.

2101101012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19221476.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101101012021 its reverse (1202101011012), we get a palindrome (3303202023033).

The spelling of 2101101012021 in words is "two trillion, one hundred one billion, one hundred one million, twelve thousand, twenty-one".