1021312210000 has 100 divisors (see below), whose sum is σ = 2482965012484. Its totient is φ = 406828800000.

The previous prime is 1021312209917. The next prime is 1021312210003. The reversal of 1021312210000 is 122131201.

It can be written as a sum of positive squares in 10 ways, for example, as 632145845776 + 389166364224 = 795076^2 + 623832^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×1021312210000³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021312210003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2198110 + ... + 2621890.

Almost surely, 2^{1021312210000} is an apocalyptic number.

1021312210000 is a gapful number since it is divisible by the number (10) 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 1021312210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241482506242).

1021312210000 is an abundant number, since it is smaller than the sum of its proper divisors (1461652802484).

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

1021312210000 is an equidigital number, since it uses as much as digits as its factorization.

1021312210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424050 (or 424029 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1021312210000 its reverse (122131201), we get a palindrome (1021434341201).

The spelling of 1021312210000 in words is "one trillion, twenty-one billion, three hundred twelve million, two hundred ten thousand".