11100021211110 has 256 divisors, whose sum is σ = 30656671395840. Its totient is φ = 2549565849600.

The previous prime is 11100021211099. The next prime is 11100021211121. The reversal of 11100021211110 is 1111212000111.

It is an interprime number because it is at equal distance from previous prime (11100021211099) and next prime (11100021211121).

It is a super-2 number, since 2×11100021211110² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144404707 + ... + 144481553.

It is an arithmetic number, because the mean of its divisors is an integer number (119752622640).

Almost surely, 2^{11100021211110} is an apocalyptic number.

11100021211110 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 11100021211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15328335697920).

11100021211110 is an abundant number, since it is smaller than the sum of its proper divisors (19556650184730).

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

11100021211110 is a wasteful number, since it uses less digits than its factorization.

11100021211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77183.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11100021211110 its reverse (1111212000111), we get a palindrome (12211233211221).

The spelling of 11100021211110 in words is "eleven trillion, one hundred billion, twenty-one million, two hundred eleven thousand, one hundred ten".