1001100102002 has 96 divisors (see below), whose sum is σ = 2064781512192. Its totient is φ = 354133296000.

The previous prime is 1001100101983. The next prime is 1001100102011. The reversal of 1001100102002 is 2002010011001.

1001100102002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 970727 + ... + 1715957.

It is an arithmetic number, because the mean of its divisors is an integer number (21508140752).

Almost surely, 2^{1001100102002} is an apocalyptic number.

1001100102002 is an abundant number, since it is smaller than the sum of its proper divisors (1063681410190).

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

1001100102002 is a wasteful number, since it uses less digits than its factorization.

1001100102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745336 (or 745325 counting only the distinct ones).

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

Adding to 1001100102002 its reverse (2002010011001), we get a palindrome (3003110113003).

The spelling of 1001100102002 in words is "one trillion, one billion, one hundred million, one hundred two thousand, two".