211010201120120 has 192 divisors, whose sum is σ = 506325129055200. Its totient is φ = 79115486376960.

The previous prime is 211010201120113. The next prime is 211010201120129. The reversal of 211010201120120 is 21021102010112.

It is a junction number, because it is equal to n+sod(n) for n = 211010201120095 and 211010201120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010201120129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346910579 + ... + 347518301.

Almost surely, 2^{211010201120120} is an apocalyptic number.

211010201120120 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 211010201120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253162564527600).

211010201120120 is an abundant number, since it is smaller than the sum of its proper divisors (295314927935080).

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

211010201120120 is a wasteful number, since it uses less digits than its factorization.

211010201120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608110 (or 608083 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211010201120120 its reverse (21021102010112), we get a palindrome (232031303130232).

The spelling of 211010201120120 in words is "two hundred eleven trillion, ten billion, two hundred one million, one hundred twenty thousand, one hundred twenty".