10002211100000 has 144 divisors (see below), whose sum is σ = 28129420289376. Its totient is φ = 3429329280000.

The previous prime is 10002211099997. The next prime is 10002211100027. The reversal of 10002211100000 is 111220001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6444437 + ... + 7844436.

It is an arithmetic number, because the mean of its divisors is an integer number (195343196454).

Almost surely, 2^{10002211100000} is an apocalyptic number.

10002211100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002211100000 is an abundant number, since it is smaller than the sum of its proper divisors (18127209189376).

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

10002211100000 is an frugal number, since it uses more digits than its factorization.

10002211100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288915 (or 14288887 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10002211100000 its reverse (111220001), we get a palindrome (10002322320001).

The spelling of 10002211100000 in words is "ten trillion, two billion, two hundred eleven million, one hundred thousand".