1002220100010 has 192 divisors, whose sum is σ = 2836173753504. Its totient is φ = 244518912000.

The previous prime is 1002220099957. The next prime is 1002220100039. The reversal of 1002220100010 is 100010222001.

It can be written as a sum of positive squares in 16 ways, for example, as 352611503721 + 649608596289 = 593811^2 + 805983^2 .

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 = 1002220099965 and 1002220100001.

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, 67981240 + ... + 67995980.

Almost surely, 2^{1002220100010} is an apocalyptic number.

1002220100010 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 1002220100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418086876752).

1002220100010 is an abundant number, since it is smaller than the sum of its proper divisors (1833953653494).

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

1002220100010 is a wasteful number, since it uses less digits than its factorization.

1002220100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16009 (or 16006 counting only the distinct ones).

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

Adding to 1002220100010 its reverse (100010222001), we get a palindrome (1102230322011).

The spelling of 1002220100010 in words is "one trillion, two billion, two hundred twenty million, one hundred thousand, ten".