11012100110220 has 576 divisors, whose sum is σ = 35161169057280. Its totient is φ = 2571984814080.

The previous prime is 11012100110051. The next prime is 11012100110227. The reversal of 11012100110220 is 2201100121011.

It is a super-2 number, since 2×11012100110220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11012100110196 and 11012100110205.

It is not an unprimeable number, because it can be changed into a prime (11012100110227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4445739622 + ... + 4445742098.

It is an arithmetic number, because the mean of its divisors is an integer number (61043696280).

Almost surely, 2^{11012100110220} is an apocalyptic number.

11012100110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012100110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17580584528640).

11012100110220 is an abundant number, since it is smaller than the sum of its proper divisors (24149068947060).

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

11012100110220 is a wasteful number, since it uses less digits than its factorization.

11012100110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2761 counting only the distinct ones).

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

Adding to 11012100110220 its reverse (2201100121011), we get a palindrome (13213200231231).

The spelling of 11012100110220 in words is "eleven trillion, twelve billion, one hundred million, one hundred ten thousand, two hundred twenty".