2102122202310 has 192 divisors, whose sum is σ = 5986768447296. Its totient is φ = 508593945600.

The previous prime is 2102122202273. The next prime is 2102122202321. The reversal of 2102122202310 is 132022212012.

2102122202310 is a `hidden beast` number, since 2 + 1 + 0 + 212 + 220 + 231 + 0 = 666.

It is a super-2 number, since 2×2102122202310² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105831780 + ... + 105851640.

It is an arithmetic number, because the mean of its divisors is an integer number (31181085663).

Almost surely, 2^{2102122202310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102122202310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993384223648).

2102122202310 is an abundant number, since it is smaller than the sum of its proper divisors (3884646244986).

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

2102122202310 is a wasteful number, since it uses less digits than its factorization.

2102122202310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21431 (or 21428 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2102122202310 its reverse (132022212012), we get a palindrome (2234144414322).

The spelling of 2102122202310 in words is "two trillion, one hundred two billion, one hundred twenty-two million, two hundred two thousand, three hundred ten".