11100102102210 has 192 divisors, whose sum is σ = 29350823040000. Its totient is φ = 2684641365120.

The previous prime is 11100102102163. The next prime is 11100102102289. The reversal of 11100102102210 is 1220120100111.

It is a super-2 number, since 2×11100102102210² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 3701266291 + ... + 3701269289.

It is an arithmetic number, because the mean of its divisors is an integer number (152868870000).

Almost surely, 2^{11100102102210} is an apocalyptic number.

11100102102210 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 11100102102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14675411520000).

11100102102210 is an abundant number, since it is smaller than the sum of its proper divisors (18250720937790).

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

11100102102210 is a wasteful number, since it uses less digits than its factorization.

11100102102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11100102102210 its reverse (1220120100111), we get a palindrome (12320222202321).

The spelling of 11100102102210 in words is "eleven trillion, one hundred billion, one hundred two million, one hundred two thousand, two hundred ten".