211201112001121 has 64 divisors (see below), whose sum is σ = 253775196979200. Its totient is φ = 173504401012800.

The previous prime is 211201112001107. The next prime is 211201112001133. The reversal of 211201112001121 is 121100211102112.

It is not a de Polignac number, because 211201112001121 - 2¹³ = 211201111992929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211201112001095 and 211201112001104.

It is not an unprimeable number, because it can be changed into a prime (211201112001721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3634413856 + ... + 3634471966.

It is an arithmetic number, because the mean of its divisors is an integer number (3965237452800).

Almost surely, 2^{211201112001121} is an apocalyptic number.

It is an amenable number.

211201112001121 is a deficient number, since it is larger than the sum of its proper divisors (42574084978079).

211201112001121 is a wasteful number, since it uses less digits than its factorization.

211201112001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60250.

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

Adding to 211201112001121 its reverse (121100211102112), we get a palindrome (332301323103233).

The spelling of 211201112001121 in words is "two hundred eleven trillion, two hundred one billion, one hundred twelve million, one thousand, one hundred twenty-one".