10001101012002 has 96 divisors (see below), whose sum is σ = 22474416444480. Its totient is φ = 3210400690560.

The previous prime is 10001101011989. The next prime is 10001101012043. The reversal of 10001101012002 is 20021010110001.

It is a happy number.

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

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, 674512113 + ... + 674526939.

It is an arithmetic number, because the mean of its divisors is an integer number (234108504630).

Almost surely, 2^{10001101012002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001101012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237208222240).

10001101012002 is an abundant number, since it is smaller than the sum of its proper divisors (12473315432478).

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

10001101012002 is a wasteful number, since it uses less digits than its factorization.

10001101012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18128 (or 18125 counting only the distinct ones).

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

Adding to 10001101012002 its reverse (20021010110001), we get a palindrome (30022111122003).

The spelling of 10001101012002 in words is "ten trillion, one billion, one hundred one million, twelve thousand, two".