11211993100 has 216 divisors, whose sum is σ = 32176551680. Its totient is φ = 3310243200.

The previous prime is 11211993097. The next prime is 11211993101. The reversal of 11211993100 is 139911211.

It is a super-2 number, since 2×11211993100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11211993101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1605817 + ... + 1612783.

Almost surely, 2^11211993100 is an apocalyptic number.

11211993100 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 11211993100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16088275840).

11211993100 is an abundant number, since it is smaller than the sum of its proper divisors (20964558580).

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

11211993100 is a wasteful number, since it uses less digits than its factorization.

11211993100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 28.

It can be divided in two parts, 11 and 211993100, that multiplied together give a square (2331924100 = 48290²).

The spelling of 11211993100 in words is "eleven billion, two hundred eleven million, nine hundred ninety-three thousand, one hundred".