20112101100 has 432 divisors, whose sum is σ = 79696996288. Its totient is φ = 4128122880.

The previous prime is 20112101099. The next prime is 20112101111. The reversal of 20112101100 is 110121102.

It is a happy number.

It is a super-2 number, since 2×20112101100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3026982 + ... + 3033618.

Almost surely, 2^20112101100 is an apocalyptic number.

20112101100 is a gapful number since it is divisible by the number (20) 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 20112101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39848498144).

20112101100 is an abundant number, since it is smaller than the sum of its proper divisors (59584895188).

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

20112101100 is a wasteful number, since it uses less digits than its factorization.

20112101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20112101100 its reverse (110121102), we get a palindrome (20222222202).

The spelling of 20112101100 in words is "twenty billion, one hundred twelve million, one hundred one thousand, one hundred".