21211102101 has 16 divisors (see below), whose sum is σ = 32711099904. Its totient is φ = 11974597104.

The previous prime is 21211102091. The next prime is 21211102127. The reversal of 21211102101 is 10120111212.

It is not a de Polignac number, because 21211102101 - 2¹⁴ = 21211085717 is a prime.

It is a super-2 number, since 2×21211102101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211102141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6082911 + ... + 6086396.

It is an arithmetic number, because the mean of its divisors is an integer number (2044443744).

Almost surely, 2^21211102101 is an apocalyptic number.

21211102101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21211102101 is a deficient number, since it is larger than the sum of its proper divisors (11499997803).

21211102101 is a wasteful number, since it uses less digits than its factorization.

21211102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12169400.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21211102101 its reverse (10120111212), we get a palindrome (31331213313).

The spelling of 21211102101 in words is "twenty-one billion, two hundred eleven million, one hundred two thousand, one hundred one".