210010222002000 has 480 divisors, whose sum is σ = 808902425859840. Its totient is φ = 46704973593600.

The previous prime is 210010222001977. The next prime is 210010222002023. The reversal of 210010222002000 is 200222010012.

210010222002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210010222001977) and next prime (210010222002023).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1225021 + ... + 20530979.

It is an arithmetic number, because the mean of its divisors is an integer number (1685213387208).

Almost surely, 2^{210010222002000} is an apocalyptic number.

210010222002000 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 210010222002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404451212929920).

210010222002000 is an abundant number, since it is smaller than the sum of its proper divisors (598892203857840).

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

210010222002000 is a wasteful number, since it uses less digits than its factorization.

210010222002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19306036 (or 19306013 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210010222002000 its reverse (200222010012), we get a palindrome (210210444012012).

The spelling of 210010222002000 in words is "two hundred ten trillion, ten billion, two hundred twenty-two million, two thousand".