21101021122101 has 16 divisors (see below), whose sum is σ = 28147032688320. Its totient is φ = 14061179091200.

The previous prime is 21101021122079. The next prime is 21101021122133. The reversal of 21101021122101 is 10122112010112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21101021122101 - 2¹⁸ = 21101020859957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101021122151) 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, 165093646 + ... + 165221408.

It is an arithmetic number, because the mean of its divisors is an integer number (1759189543020).

Almost surely, 2^{21101021122101} is an apocalyptic number.

It is an amenable number.

21101021122101 is a deficient number, since it is larger than the sum of its proper divisors (7046011566219).

21101021122101 is a wasteful number, since it uses less digits than its factorization.

21101021122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151476.

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

Adding to 21101021122101 its reverse (10122112010112), we get a palindrome (31223133132213).

The spelling of 21101021122101 in words is "twenty-one trillion, one hundred one billion, twenty-one million, one hundred twenty-two thousand, one hundred one".