211211122200101 has 32 divisors (see below), whose sum is σ = 216474508800000. Its totient is φ = 206023237668864.

The previous prime is 211211122200073. The next prime is 211211122200121. The reversal of 211211122200101 is 101002221112112.

It is a cyclic number.

It is not a de Polignac number, because 211211122200101 - 2²⁶ = 211211055091237 is a prime.

It is a super-2 number, since 2×211211122200101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211211122200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211122200121) 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, 3754903025 + ... + 3754959273.

It is an arithmetic number, because the mean of its divisors is an integer number (6764828400000).

Almost surely, 2^{211211122200101} is an apocalyptic number.

It is an amenable number.

211211122200101 is a deficient number, since it is larger than the sum of its proper divisors (5263386599899).

211211122200101 is a wasteful number, since it uses less digits than its factorization.

211211122200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57725.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211211122200101 its reverse (101002221112112), we get a palindrome (312213343312213).

The spelling of 211211122200101 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred twenty-two million, two hundred thousand, one hundred one".