210211101120 has 224 divisors, whose sum is σ = 674818421760. Its totient is φ = 55438110720.

The previous prime is 210211101101. The next prime is 210211101143. The reversal of 210211101120 is 21101112012.

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 = 210211101096 and 210211101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36159334 + ... + 36165146.

It is an arithmetic number, because the mean of its divisors is an integer number (3012582240).

Almost surely, 2^210211101120 is an apocalyptic number.

210211101120 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 210211101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337409210880).

210211101120 is an abundant number, since it is smaller than the sum of its proper divisors (464607320640).

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

210211101120 is a wasteful number, since it uses less digits than its factorization.

210211101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6243 (or 6233 counting only the distinct ones).

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

Adding to 210211101120 its reverse (21101112012), we get a palindrome (231312213132).

The spelling of 210211101120 in words is "two hundred ten billion, two hundred eleven million, one hundred one thousand, one hundred twenty".