21311010101010 has 384 divisors, whose sum is σ = 62792325218304. Its totient is φ = 4610407334400.

The previous prime is 21311010100997. The next prime is 21311010101071. The reversal of 21311010101010 is 1010101011312.

21311010101010 is a modest number, since divided by 10101010 gives 213110 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 300022359 + ... + 300093381.

It is an arithmetic number, because the mean of its divisors is an integer number (163521680256).

Almost surely, 2^{21311010101010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311010101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31396162609152).

21311010101010 is an abundant number, since it is smaller than the sum of its proper divisors (41481315117294).

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

21311010101010 is a wasteful number, since it uses less digits than its factorization.

21311010101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71238 (or 71231 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 21311010101010 its reverse (1010101011312), we get a palindrome (22321111112322).

The spelling of 21311010101010 in words is "twenty-one trillion, three hundred eleven billion, ten million, one hundred one thousand, ten".