1002188121011 has 16 divisors (see below), whose sum is σ = 1249503198720. Its totient is φ = 780912118080.

The previous prime is 1002188121007. The next prime is 1002188121013. The reversal of 1002188121011 is 1101218812001.

1002188121011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1002188121011 - 2² = 1002188121007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002188121013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8665655 + ... + 8780543.

It is an arithmetic number, because the mean of its divisors is an integer number (78093949920).

Almost surely, 2^{1002188121011} is an apocalyptic number.

1002188121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002188121011 is a deficient number, since it is larger than the sum of its proper divisors (247315077709).

1002188121011 is a wasteful number, since it uses less digits than its factorization.

1002188121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228194.

The product of its (nonzero) digits is 256, while the sum is 26.

The spelling of 1002188121011 in words is "one trillion, two billion, one hundred eighty-eight million, one hundred twenty-one thousand, eleven".