11000102310 has 192 divisors, whose sum is σ = 30407270400. Its totient is φ = 2754789120.

The previous prime is 11000102293. The next prime is 11000102329. The reversal of 11000102310 is 1320100011.

It is a super-2 number, since 2×11000102310² (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 = 11000102292 and 11000102301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19538089 + ... + 19538651.

It is an arithmetic number, because the mean of its divisors is an integer number (158371200).

Almost surely, 2^11000102310 is an apocalyptic number.

11000102310 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 11000102310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203635200).

11000102310 is an abundant number, since it is smaller than the sum of its proper divisors (19407168090).

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

11000102310 is a wasteful number, since it uses less digits than its factorization.

11000102310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 800 counting only the distinct ones).

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

Adding to 11000102310 its reverse (1320100011), we get a palindrome (12320202321).

The spelling of 11000102310 in words is "eleven billion, one hundred two thousand, three hundred ten".