211211110201120 has 24 divisors (see below), whose sum is σ = 498986247850524. Its totient is φ = 84484444080384.

The previous prime is 211211110201099. The next prime is 211211110201127. The reversal of 211211110201120 is 21102011112112.

It can be written as a sum of positive squares in 2 ways, for example, as 204252002888976 + 6959107312144 = 14291676^2 + 2638012^2 .

It is a super-2 number, since 2×211211110201120² (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 a junction number, because it is equal to n+sod(n) for n = 211211110201094 and 211211110201103.

It is not an unprimeable number, because it can be changed into a prime (211211110201127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 660034719219 + ... + 660034719538.

Almost surely, 2^{211211110201120} is an apocalyptic number.

211211110201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211110201120 is an abundant number, since it is smaller than the sum of its proper divisors (287775137649404).

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

211211110201120 is a wasteful number, since it uses less digits than its factorization.

211211110201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320069438772 (or 1320069438764 counting only the distinct ones).

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

Adding to 211211110201120 its reverse (21102011112112), we get a palindrome (232313121313232).

The spelling of 211211110201120 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred ten million, two hundred one thousand, one hundred twenty".