101002002000003 has 16 divisors (see below), whose sum is σ = 161142795214240. Its totient is φ = 62155078153632.

The previous prime is 101002001999953. The next prime is 101002002000013. The reversal of 101002002000003 is 300000200200101.

It is a happy number.

It is not a de Polignac number, because 101002002000003 - 2⁹ = 101002001999491 is a prime.

It is a super-2 number, since 2×101002002000003² (a number of 29 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002002000013) 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, 143877495376 + ... + 143877496077.

It is an arithmetic number, because the mean of its divisors is an integer number (10071424700890).

Almost surely, 2^{101002002000003} is an apocalyptic number.

101002002000003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101002002000003 is a deficient number, since it is larger than the sum of its proper divisors (60140793214237).

101002002000003 is a wasteful number, since it uses less digits than its factorization.

101002002000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287754991475 (or 287754991469 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 101002002000003 its reverse (300000200200101), we get a palindrome (401002202200104).

The spelling of 101002002000003 in words is "one hundred one trillion, two billion, two million, three", and thus it is an aban number.