211221210000101 has 16 divisors (see below), whose sum is σ = 254998586150400. Its totient is φ = 170911904424048.

The previous prime is 211221210000091. The next prime is 211221210000131. The reversal of 211221210000101 is 101000012122112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211221210000101 is a prime.

It is a super-2 number, since 2×211221210000101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221210000131) 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, 2805844691 + ... + 2805919968.

It is an arithmetic number, because the mean of its divisors is an integer number (15937411634400).

Almost surely, 2^{211221210000101} is an apocalyptic number.

It is an amenable number.

211221210000101 is a deficient number, since it is larger than the sum of its proper divisors (43777376150299).

211221210000101 is a wasteful number, since it uses less digits than its factorization.

211221210000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611764968.

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

Adding to 211221210000101 its reverse (101000012122112), we get a palindrome (312221222122213).

The spelling of 211221210000101 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred ten million, one hundred one", and thus it is an aban number.