1002101101002 has 24 divisors (see below), whose sum is σ = 2171933152740. Its totient is φ = 333923838720.

The previous prime is 1002101100997. The next prime is 1002101101031. The reversal of 1002101101002 is 2001011012001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 927675259281 + 74425841721 = 963159^2 + 272811^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 11 ways as a sum of consecutive naturals, for example, 9098877 + ... + 9208352.

Almost surely, 2^{1002101101002} is an apocalyptic number.

1002101101002 is an abundant number, since it is smaller than the sum of its proper divisors (1169832051738).

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

1002101101002 is a wasteful number, since it uses less digits than its factorization.

1002101101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18310278 (or 18310275 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002101101002 its reverse (2001011012001), we get a palindrome (3003112113003).

The spelling of 1002101101002 in words is "one trillion, two billion, one hundred one million, one hundred one thousand, two".