2102022101101 has 16 divisors (see below), whose sum is σ = 2318646052800. Its totient is φ = 1893718482048.

The previous prime is 2102022101099. The next prime is 2102022101227. The reversal of 2102022101101 is 1011012202012.

It is a cyclic number.

It is not a de Polignac number, because 2102022101101 - 2¹ = 2102022101099 is a prime.

It is a super-3 number, since 3×2102022101101³ (a number of 38 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102022102101) 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, 9751576 + ... + 9964801.

It is an arithmetic number, because the mean of its divisors is an integer number (144915378300).

Almost surely, 2^{2102022101101} is an apocalyptic number.

It is an amenable number.

2102022101101 is a deficient number, since it is larger than the sum of its proper divisors (216623951699).

2102022101101 is a wasteful number, since it uses less digits than its factorization.

2102022101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19716588.

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

Adding to 2102022101101 its reverse (1011012202012), we get a palindrome (3113034303113).

The spelling of 2102022101101 in words is "two trillion, one hundred two billion, twenty-two million, one hundred one thousand, one hundred one".