1010020002210 has 128 divisors (see below), whose sum is σ = 2705783616000. Its totient is φ = 268101743616.

The previous prime is 1010020002203. The next prime is 1010020002221. The reversal of 1010020002210 is 122000200101.

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 = 1010020002192 and 1010020002201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55144014 + ... + 55162326.

It is an arithmetic number, because the mean of its divisors is an integer number (21138934500).

Almost surely, 2^{1010020002210} is an apocalyptic number.

1010020002210 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 1010020002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352891808000).

1010020002210 is an abundant number, since it is smaller than the sum of its proper divisors (1695763613790).

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

1010020002210 is a wasteful number, since it uses less digits than its factorization.

1010020002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19257 (or 19251 counting only the distinct ones).

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

Adding to 1010020002210 its reverse (122000200101), we get a palindrome (1132020202311).

The spelling of 1010020002210 in words is "one trillion, ten billion, twenty million, two thousand, two hundred ten".