211102011120 has 1920 divisors, whose sum is σ = 970305896448. Its totient is φ = 36787322880.

The previous prime is 211102011091. The next prime is 211102011143. The reversal of 211102011120 is 21110201112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211102011096 and 211102011105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1662220497 + ... + 1662220623.

Almost surely, 2^211102011120 is an apocalyptic number.

211102011120 is a gapful number since it is divisible by the number (20) 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 211102011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485152948224).

211102011120 is an abundant number, since it is smaller than the sum of its proper divisors (759203885328).

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

211102011120 is a wasteful number, since it uses less digits than its factorization.

211102011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211102011120 its reverse (21110201112), we get a palindrome (232212212232).

The spelling of 211102011120 in words is "two hundred eleven billion, one hundred two million, eleven thousand, one hundred twenty".