21211002121101 has 16 divisors (see below), whose sum is σ = 30486712549440. Its totient is φ = 13040114814720.

The previous prime is 21211002121097. The next prime is 21211002121139. The reversal of 21211002121101 is 10112120011212.

It is a happy number.

It is not a de Polignac number, because 21211002121101 - 2² = 21211002121097 is a prime.

It is a super-2 number, since 2×21211002121101² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211002121301) 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, 266825740 + ... + 266905221.

It is an arithmetic number, because the mean of its divisors is an integer number (1905419534340).

Almost surely, 2^{21211002121101} is an apocalyptic number.

It is an amenable number.

21211002121101 is a deficient number, since it is larger than the sum of its proper divisors (9275710428339).

21211002121101 is a wasteful number, since it uses less digits than its factorization.

21211002121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533731996.

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

Adding to 21211002121101 its reverse (10112120011212), we get a palindrome (31323122132313).

The spelling of 21211002121101 in words is "twenty-one trillion, two hundred eleven billion, two million, one hundred twenty-one thousand, one hundred one".