1002210100000 has 288 divisors, whose sum is σ = 2603426495040. Its totient is φ = 378702720000.

The previous prime is 1002210099997. The next prime is 1002210100007. The reversal of 1002210100000 is 10122001.

It is not an unprimeable number, because it can be changed into a prime (1002210100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1058299527 + ... + 1058300473.

It is an arithmetic number, because the mean of its divisors is an integer number (9039675330).

Almost surely, 2^{1002210100000} is an apocalyptic number.

1002210100000 is a gapful number since it is divisible by the number (10) 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 1002210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301713247520).

1002210100000 is an abundant number, since it is smaller than the sum of its proper divisors (1601216395040).

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

1002210100000 is an frugal number, since it uses more digits than its factorization.

1002210100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1002210100000 its reverse (10122001), we get a palindrome (1002220222001).

The spelling of 1002210100000 in words is "one trillion, two billion, two hundred ten million, one hundred thousand".