102210002000010 has 256 divisors, whose sum is σ = 282002632704000. Its totient is φ = 26315861644800.

The previous prime is 102210001999883. The next prime is 102210002000021. The reversal of 102210002000010 is 10000200012201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102210001999956 and 102210002000001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9079678302 + ... + 9079689558.

It is an arithmetic number, because the mean of its divisors is an integer number (1101572784000).

Almost surely, 2^{102210002000010} is an apocalyptic number.

102210002000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210002000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141001316352000).

102210002000010 is an abundant number, since it is smaller than the sum of its proper divisors (179792630703990).

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

102210002000010 is a wasteful number, since it uses less digits than its factorization.

102210002000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13714 (or 13708 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102210002000010 its reverse (10000200012201), we get a palindrome (112210202012211).

The spelling of 102210002000010 in words is "one hundred two trillion, two hundred ten billion, two million, ten", and thus it is an aban number.