101201112210211 has 24 divisors (see below), whose sum is σ = 112629051773952. Its totient is φ = 90391612780800.

The previous prime is 101201112210193. The next prime is 101201112210269. The reversal of 101201112210211 is 112012211102101.

It is a de Polignac number, because none of the positive numbers 2^k-101201112210211 is a prime.

It is a super-2 number, since 2×101201112210211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201112210911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99651166 + ... + 100661596.

It is an arithmetic number, because the mean of its divisors is an integer number (4692877157248).

Almost surely, 2^{101201112210211} is an apocalyptic number.

101201112210211 is a deficient number, since it is larger than the sum of its proper divisors (11427939563741).

101201112210211 is a wasteful number, since it uses less digits than its factorization.

101201112210211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018523 (or 1018492 counting only the distinct ones).

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

Adding to 101201112210211 its reverse (112012211102101), we get a palindrome (213213323312312).

The spelling of 101201112210211 in words is "one hundred one trillion, two hundred one billion, one hundred twelve million, two hundred ten thousand, two hundred eleven".