1021122312210 has 1536 divisors, whose sum is σ = 4026957742080. Its totient is φ = 172440576000.

The previous prime is 1021122312149. The next prime is 1021122312289. The reversal of 1021122312210 is 122132211201.

1021122312210 is a `hidden beast` number, since 1 + 0 + 21 + 122 + 312 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 1456664860 + ... + 1456665560.

It is an arithmetic number, because the mean of its divisors is an integer number (2621717280).

Almost surely, 2^{1021122312210} is an apocalyptic number.

1021122312210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021122312210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013478871040).

1021122312210 is an abundant number, since it is smaller than the sum of its proper divisors (3005835429870).

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

1021122312210 is a wasteful number, since it uses less digits than its factorization.

1021122312210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1021122312210 its reverse (122132211201), we get a palindrome (1143254523411).

The spelling of 1021122312210 in words is "one trillion, twenty-one billion, one hundred twenty-two million, three hundred twelve thousand, two hundred ten".