21101111202101 has 64 divisors (see below), whose sum is σ = 24855677521920. Its totient is φ = 17542080990720.

The previous prime is 21101111202079. The next prime is 21101111202107. The reversal of 21101111202101 is 10120211110112.

It is a cyclic number.

It is not a de Polignac number, because 21101111202101 - 2¹⁴ = 21101111185717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101111202107) 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 63 ways as a sum of consecutive naturals, for example, 17169333155 + ... + 17169334383.

It is an arithmetic number, because the mean of its divisors is an integer number (388369961280).

Almost surely, 2^{21101111202101} is an apocalyptic number.

It is an amenable number.

21101111202101 is a deficient number, since it is larger than the sum of its proper divisors (3754566319819).

21101111202101 is a wasteful number, since it uses less digits than its factorization.

21101111202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21101111202101 its reverse (10120211110112), we get a palindrome (31221322312213).

The spelling of 21101111202101 in words is "twenty-one trillion, one hundred one billion, one hundred eleven million, two hundred two thousand, one hundred one".