2121111101010 has 192 divisors, whose sum is σ = 5757601409280. Its totient is φ = 499507008000.

The previous prime is 2121111100993. The next prime is 2121111101017. The reversal of 2121111101010 is 101011111212.

It is a super-2 number, since 2×2121111101010² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121111101017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19376811 + ... + 19485969.

It is an arithmetic number, because the mean of its divisors is an integer number (29987507340).

Almost surely, 2^{2121111101010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121111101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878800704640).

2121111101010 is an abundant number, since it is smaller than the sum of its proper divisors (3636490308270).

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

2121111101010 is a wasteful number, since it uses less digits than its factorization.

2121111101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109345 (or 109334 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2121111101010 its reverse (101011111212), we get a palindrome (2222122212222).

The spelling of 2121111101010 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred one thousand, ten".