211211002012101 has 32 divisors (see below), whose sum is σ = 346603672332288. Its totient is φ = 111407678873280.

The previous prime is 211211002012097. The next prime is 211211002012121. The reversal of 211211002012101 is 101210200112112.

It is a happy number.

It is not a de Polignac number, because 211211002012101 - 2² = 211211002012097 is a prime.

It is a super-2 number, since 2×211211002012101² (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 (211211002012121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115788046 + ... + 117598016.

It is an arithmetic number, because the mean of its divisors is an integer number (10831364760384).

Almost surely, 2^{211211002012101} is an apocalyptic number.

211211002012101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211211002012101 is a deficient number, since it is larger than the sum of its proper divisors (135392670320187).

211211002012101 is a wasteful number, since it uses less digits than its factorization.

211211002012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237441.

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

Adding to 211211002012101 its reverse (101210200112112), we get a palindrome (312421202124213).

The spelling of 211211002012101 in words is "two hundred eleven trillion, two hundred eleven billion, two million, twelve thousand, one hundred one".