211201101102112 has 288 divisors, whose sum is σ = 479748251908800. Its totient is φ = 91336439040000.

The previous prime is 211201101102067. The next prime is 211201101102137.

211201101102112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211201101102112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2392925439 + ... + 2393013697.

It is an arithmetic number, because the mean of its divisors is an integer number (1665792541350).

Almost surely, 2^{211201101102112} is an apocalyptic number.

211201101102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211201101102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239874125954400).

211201101102112 is an abundant number, since it is smaller than the sum of its proper divisors (268547150806688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211201101102112 is a wasteful number, since it uses less digits than its factorization.

211201101102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88632 (or 88613 counting only the distinct ones).

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

It can be divided in two parts, 21120110 and 1102112, that added together give a palindrome (22222222).

The spelling of 211201101102112 in words is "two hundred eleven trillion, two hundred one billion, one hundred one million, one hundred two thousand, one hundred twelve".