10210111002 has 144 divisors (see below), whose sum is σ = 28118638080. Its totient is φ = 2619796608.

The previous prime is 10210111001. The next prime is 10210111003. The reversal of 10210111002 is 20011101201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10210111001) and next prime (10210111003).

It is a super-2 number, since 2×10210111002² (a number of 21 digits) contains 22 as substring.

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 (10210111001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 781399 + ... + 794357.

It is an arithmetic number, because the mean of its divisors is an integer number (195268320).

Almost surely, 2^10210111002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14059319040).

10210111002 is an abundant number, since it is smaller than the sum of its proper divisors (17908527078).

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

10210111002 is a wasteful number, since it uses less digits than its factorization.

10210111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13037 (or 13021 counting only the distinct ones).

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

Adding to 10210111002 its reverse (20011101201), we get a palindrome (30221212203).

It can be divided in two parts, 10 and 210111002, that added together give a palindrome (210111012).

The spelling of 10210111002 in words is "ten billion, two hundred ten million, one hundred eleven thousand, two".