10211020002 has 96 divisors (see below), whose sum is σ = 24262018560. Its totient is φ = 3179856960.

The previous prime is 10211019997. The next prime is 10211020019. The reversal of 10211020002 is 20002011201.

10211020002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1404208 + ... + 1411460.

It is an arithmetic number, because the mean of its divisors is an integer number (252729360).

Almost surely, 2^10211020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12131009280).

10211020002 is an abundant number, since it is smaller than the sum of its proper divisors (14050998558).

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

10211020002 is a wasteful number, since it uses less digits than its factorization.

10211020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7353 (or 7318 counting only the distinct ones).

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

Adding to 10211020002 its reverse (20002011201), we get a palindrome (30213031203).

The spelling of 10211020002 in words is "ten billion, two hundred eleven million, twenty thousand, two".