1002200011110 has 256 divisors, whose sum is σ = 2935495987200. Its totient is φ = 242287718400.

The previous prime is 1002200011073. The next prime is 1002200011147. The reversal of 1002200011110 is 111100022001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1002200011073) and next prime (1002200011147).

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 = 1002200011092 and 1002200011101.

It is a congruent number.

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, 14833305 + ... + 14900715.

It is an arithmetic number, because the mean of its divisors is an integer number (11466781200).

Almost surely, 2^{1002200011110} is an apocalyptic number.

1002200011110 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 1002200011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467747993600).

1002200011110 is an abundant number, since it is smaller than the sum of its proper divisors (1933295976090).

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

1002200011110 is a wasteful number, since it uses less digits than its factorization.

1002200011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67564 (or 67558 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002200011110 its reverse (111100022001), we get a palindrome (1113300033111).

The spelling of 1002200011110 in words is "one trillion, two billion, two hundred million, eleven thousand, one hundred ten".