101111001210211 has 16 divisors (see below), whose sum is σ = 102003638204160. Its totient is φ = 100223392258080.

The previous prime is 101111001210209. The next prime is 101111001210253. The reversal of 101111001210211 is 112012100111101.

It is a cyclic number.

It is not a de Polignac number, because 101111001210211 - 2¹ = 101111001210209 is a prime.

It is a super-2 number, since 2×101111001210211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111001210191 and 101111001210200.

It is not an unprimeable number, because it can be changed into a prime (101111001211211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44053746 + ... + 46292056.

It is an arithmetic number, because the mean of its divisors is an integer number (6375227387760).

Almost surely, 2^{101111001210211} is an apocalyptic number.

101111001210211 is a deficient number, since it is larger than the sum of its proper divisors (892636993949).

101111001210211 is a wasteful number, since it uses less digits than its factorization.

101111001210211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239434.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101111001210211 its reverse (112012100111101), we get a palindrome (213123101321312).

The spelling of 101111001210211 in words is "one hundred one trillion, one hundred eleven billion, one million, two hundred ten thousand, two hundred eleven".