2011210101120 has 1024 divisors, whose sum is σ = 7539766364160. Its totient is φ = 451050209280.

The previous prime is 2011210101073. The next prime is 2011210101139. The reversal of 2011210101120 is 211010121102.

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 = 2011210101096 and 2011210101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5697478864 + ... + 5697479216.

It is an arithmetic number, because the mean of its divisors is an integer number (7363053090).

Almost surely, 2^{2011210101120} is an apocalyptic number.

2011210101120 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 2011210101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769883182080).

2011210101120 is an abundant number, since it is smaller than the sum of its proper divisors (5528556263040).

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

2011210101120 is a wasteful number, since it uses less digits than its factorization.

2011210101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 751 counting only the distinct ones).

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

Adding to 2011210101120 its reverse (211010121102), we get a palindrome (2222220222222).

The spelling of 2011210101120 in words is "two trillion, eleven billion, two hundred ten million, one hundred one thousand, one hundred twenty".