10211011002 has 72 divisors (see below), whose sum is σ = 23541935196. Its totient is φ = 3197988864.

The previous prime is 10211010967. The next prime is 10211011021. The reversal of 10211011002 is 20011011201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8818900281 + 1392110721 = 93909^2 + 37311^2 .

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 35 ways as a sum of consecutive naturals, for example, 3936618 + ... + 3939210.

Almost surely, 2^10211011002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11770967598).

10211011002 is an abundant number, since it is smaller than the sum of its proper divisors (13330924194).

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

10211011002 is a wasteful number, since it uses less digits than its factorization.

10211011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3372 counting only the distinct ones).

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

Adding to 10211011002 its reverse (20011011201), we get a palindrome (30222022203).

The spelling of 10211011002 in words is "ten billion, two hundred eleven million, eleven thousand, two".