1102100222000 has 80 divisors (see below), whose sum is σ = 2676029616000. Its totient is φ = 438995379200.

The previous prime is 1102100221997. The next prime is 1102100222029. The reversal of 1102100222000 is 2220012011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674825 + ... + 1630824.

It is an arithmetic number, because the mean of its divisors is an integer number (33450370200).

Almost surely, 2^{1102100222000} is an apocalyptic number.

1102100222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102100222000 is an abundant number, since it is smaller than the sum of its proper divisors (1573929394000).

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

1102100222000 is a wasteful number, since it uses less digits than its factorization.

1102100222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305911 (or 2305895 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1102100222000 its reverse (2220012011), we get a palindrome (1104320234011).

The spelling of 1102100222000 in words is "one trillion, one hundred two billion, one hundred million, two hundred twenty-two thousand".