2102210222000 has 320 divisors, whose sum is σ = 5918729177088. Its totient is φ = 707299200000.

The previous prime is 2102210221949. The next prime is 2102210222003. The reversal of 2102210222000 is 2220122012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2102210222003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175456010 + ... + 175467990.

Almost surely, 2^{2102210222000} is an apocalyptic number.

2102210222000 is a gapful number since it is divisible by the number (20) 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 2102210222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959364588544).

2102210222000 is an abundant number, since it is smaller than the sum of its proper divisors (3816518955088).

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

2102210222000 is a wasteful number, since it uses less digits than its factorization.

2102210222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12245 (or 12229 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2102210222000 its reverse (2220122012), we get a palindrome (2104430344012).

The spelling of 2102210222000 in words is "two trillion, one hundred two billion, two hundred ten million, two hundred twenty-two thousand".