2101333010322 has 256 divisors, whose sum is σ = 5405785620480. Its totient is φ = 532997337600.

The previous prime is 2101333010321. The next prime is 2101333010339. The reversal of 2101333010322 is 2230103331012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2101333010321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 268605703 + ... + 268613525.

It is an arithmetic number, because the mean of its divisors is an integer number (21116350080).

Almost surely, 2^{2101333010322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101333010322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702892810240).

2101333010322 is an abundant number, since it is smaller than the sum of its proper divisors (3304452610158).

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

2101333010322 is a wasteful number, since it uses less digits than its factorization.

2101333010322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7986 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2101333010322 its reverse (2230103331012), we get a palindrome (4331436341334).

The spelling of 2101333010322 in words is "two trillion, one hundred one billion, three hundred thirty-three million, ten thousand, three hundred twenty-two".