3102210100000 has 864 divisors, whose sum is σ = 8935631582976. Its totient is φ = 1057056000000.

The previous prime is 3102210099949. The next prime is 3102210100009. The reversal of 3102210100000 is 10122013.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 3102210100000.

It is not an unprimeable number, because it can be changed into a prime (3102210100009) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19759299922 + ... + 19759300078.

It is an arithmetic number, because the mean of its divisors is an integer number (10342166184).

Almost surely, 2^{3102210100000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467815791488).

3102210100000 is an abundant number, since it is smaller than the sum of its proper divisors (5833421482976).

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

3102210100000 is a wasteful number, since it uses less digits than its factorization.

3102210100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 3102210100000 its reverse (10122013), we get a palindrome (3102220222013).

The spelling of 3102210100000 in words is "three trillion, one hundred two billion, two hundred ten million, one hundred thousand".