10100011002 has 8 divisors (see below), whose sum is σ = 20200022016. Its totient is φ = 3366670332.

The previous prime is 10100011001. The next prime is 10100011003. The reversal of 10100011002 is 20011000101.

It is an interprime number because it is at equal distance from previous prime (10100011001) and next prime (10100011003).

It is a sphenic number, since it is the product of 3 distinct primes.

10100011002 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (6), and also a Moran number because the ratio is a prime number: 1683335167 = 10100011002 / (1 + 0 + 1 + 0 + 0 + 0 + 1 + 1 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (10100011001) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 841667578 + ... + 841667589.

It is an arithmetic number, because the mean of its divisors is an integer number (2525002752).

Almost surely, 2^10100011002 is an apocalyptic number.

10100011002 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10100011002 is a wasteful number, since it uses less digits than its factorization.

10100011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683335172.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100011002 its reverse (20011000101), we get a palindrome (30111011103).

The spelling of 10100011002 in words is "ten billion, one hundred million, eleven thousand, two".