2120111010 has 160 divisors (see below), whose sum is σ = 6033234240. Its totient is φ = 532718208.

The previous prime is 2120110973. The next prime is 2120111011. The reversal of 2120111010 is 101110212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2120110983 and 2120111001.

It is not an unprimeable number, because it can be changed into a prime (2120111011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5340132 + ... + 5340528.

It is an arithmetic number, because the mean of its divisors is an integer number (37707714).

Almost surely, 2^2120111010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016617120).

2120111010 is an abundant number, since it is smaller than the sum of its proper divisors (3913123230).

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

2120111010 is a wasteful number, since it uses less digits than its factorization.

2120111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2120111010 is about 46044.6632086716. The cubic root of 2120111010 is about 1284.6540797992.

Adding to 2120111010 its reverse (101110212), we get a palindrome (2221221222).

The spelling of 2120111010 in words is "two billion, one hundred twenty million, one hundred eleven thousand, ten".