11022011210100 has 576 divisors, whose sum is σ = 36768226682880. Its totient is φ = 2523182745600.

The previous prime is 11022011210029. The next prime is 11022011210137. The reversal of 11022011210100 is 101211022011.

It is a super-2 number, since 2×11022011210100² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2424016027 + ... + 2424020573.

It is an arithmetic number, because the mean of its divisors is an integer number (63833726880).

Almost surely, 2^{11022011210100} is an apocalyptic number.

11022011210100 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 11022011210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18384113341440).

11022011210100 is an abundant number, since it is smaller than the sum of its proper divisors (25746215472780).

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

11022011210100 is a wasteful number, since it uses less digits than its factorization.

11022011210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4993 counting only the distinct ones).

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

Adding to 11022011210100 its reverse (101211022011), we get a palindrome (11123222232111).

The spelling of 11022011210100 in words is "eleven trillion, twenty-two billion, eleven million, two hundred ten thousand, one hundred".