21201022101101 has 16 divisors (see below), whose sum is σ = 22938265405440. Its totient is φ = 19530108022320.

The previous prime is 21201022101089. The next prime is 21201022101113. The reversal of 21201022101101 is 10110122010212.

It is an interprime number because it is at equal distance from previous prime (21201022101089) and next prime (21201022101113).

It is a cyclic number.

It is not a de Polignac number, because 21201022101101 - 2¹⁴ = 21201022084717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201022101001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58001315 + ... + 58365696.

It is an arithmetic number, because the mean of its divisors is an integer number (1433641587840).

Almost surely, 2^{21201022101101} is an apocalyptic number.

It is an amenable number.

21201022101101 is a deficient number, since it is larger than the sum of its proper divisors (1737243304339).

21201022101101 is a wasteful number, since it uses less digits than its factorization.

21201022101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116367296.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21201022101101 its reverse (10110122010212), we get a palindrome (31311144111313).

The spelling of 21201022101101 in words is "twenty-one trillion, two hundred one billion, twenty-two million, one hundred one thousand, one hundred one".