11222002100100 has 576 divisors, whose sum is σ = 36482476972032. Its totient is φ = 2640549888000.

The previous prime is 11222002100041. The next prime is 11222002100117. The reversal of 11222002100100 is 100120022211.

11222002100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11222002100100² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3527820510 + ... + 3527823690.

It is an arithmetic number, because the mean of its divisors is an integer number (63337633632).

Almost surely, 2^{11222002100100} is an apocalyptic number.

11222002100100 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 11222002100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18241238486016).

11222002100100 is an abundant number, since it is smaller than the sum of its proper divisors (25260474871932).

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

11222002100100 is a wasteful number, since it uses less digits than its factorization.

11222002100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11222002100100 its reverse (100120022211), we get a palindrome (11322122122311).

The spelling of 11222002100100 in words is "eleven trillion, two hundred twenty-two billion, two million, one hundred thousand, one hundred".