21102121021101 has 32 divisors (see below), whose sum is σ = 29873690542080. Its totient is φ = 13212626356800.

The previous prime is 21102121021073. The next prime is 21102121021133. The reversal of 21102121021101 is 10112012120112.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-21102121021101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102121021151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117765 + ... + 6497546.

It is an arithmetic number, because the mean of its divisors is an integer number (933552829440).

Almost surely, 2^{21102121021101} is an apocalyptic number.

It is an amenable number.

21102121021101 is a deficient number, since it is larger than the sum of its proper divisors (8771569520979).

21102121021101 is a wasteful number, since it uses less digits than its factorization.

21102121021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6615817.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21102121021101 its reverse (10112012120112), we get a palindrome (31214133141213).

It can be divided in two parts, 2110212 and 1021101, that added together give a palindrome (3131313).

The spelling of 21102121021101 in words is "twenty-one trillion, one hundred two billion, one hundred twenty-one million, twenty-one thousand, one hundred one".