10021100310 has 96 divisors (see below), whose sum is σ = 28177269120. Its totient is φ = 2456342784.

The previous prime is 10021100291. The next prime is 10021100339. The reversal of 10021100310 is 1300112001.

It is a super-2 number, since 2×10021100310² (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 a junction number, because it is equal to n+sod(n) for n = 10021100292 and 10021100301.

It is a congruent number.

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, 261712 + ... + 297548.

It is an arithmetic number, because the mean of its divisors is an integer number (293513220).

Almost surely, 2^10021100310 is an apocalyptic number.

10021100310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021100310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14088634560).

10021100310 is an abundant number, since it is smaller than the sum of its proper divisors (18156168810).

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

10021100310 is a wasteful number, since it uses less digits than its factorization.

10021100310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36102 (or 36099 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10021100310 its reverse (1300112001), we get a palindrome (11321212311).

The spelling of 10021100310 in words is "ten billion, twenty-one million, one hundred thousand, three hundred ten".