101020012002 has 288 divisors, whose sum is σ = 286368211584. Its totient is φ = 26453952000.

The previous prime is 101020012001. The next prime is 101020012007. The reversal of 101020012002 is 200210020101.

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

It is not an unprimeable number, because it can be changed into a prime (101020012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46745802 + ... + 46747962.

It is an arithmetic number, because the mean of its divisors is an integer number (994334068).

Almost surely, 2^101020012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143184105792).

101020012002 is an abundant number, since it is smaller than the sum of its proper divisors (185348199582).

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

101020012002 is a wasteful number, since it uses less digits than its factorization.

101020012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101020012002 its reverse (200210020101), we get a palindrome (301230032103).

The spelling of 101020012002 in words is "one hundred one billion, twenty million, twelve thousand, two".