211211212000101 has 8 divisors (see below), whose sum is σ = 281615216726880. Its totient is φ = 140807340970032.

The previous prime is 211211212000081. The next prime is 211211212000141. The reversal of 211211212000101 is 101000212112112.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211211212000101 - 2⁹ = 211211211999589 is a prime.

It is a super-2 number, since 2×211211212000101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211212000141) 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 7 ways as a sum of consecutive naturals, for example, 29678046 + ... + 36099983.

It is an arithmetic number, because the mean of its divisors is an integer number (35201902090860).

Almost surely, 2^{211211212000101} is an apocalyptic number.

It is an amenable number.

211211212000101 is a deficient number, since it is larger than the sum of its proper divisors (70404004726779).

211211212000101 is a wasteful number, since it uses less digits than its factorization.

211211212000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66848355.

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

Adding to 211211212000101 its reverse (101000212112112), we get a palindrome (312211424112213).

The spelling of 211211212000101 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twelve million, one hundred one", and thus it is an aban number.