1002101011000 has 32 divisors (see below), whose sum is σ = 2344916368080. Its totient is φ = 400840404000.

The previous prime is 1002101010997. The next prime is 1002101011003. The reversal of 1002101011000 is 1101012001.

It is an interprime number because it is at equal distance from previous prime (1002101010997) and next prime (1002101011003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002101011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501049506 + ... + 501051505.

Almost surely, 2^{1002101011000} is an apocalyptic number.

1002101011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002101011000 is an abundant number, since it is smaller than the sum of its proper divisors (1342815357080).

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

1002101011000 is a wasteful number, since it uses less digits than its factorization.

1002101011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002101032 (or 1002101018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1002101011000 its reverse (1101012001), we get a palindrome (1003202023001).

The spelling of 1002101011000 in words is "one trillion, two billion, one hundred one million, eleven thousand".