20112011100100 has 72 divisors (see below), whose sum is σ = 44872503975936. Its totient is φ = 7819627680000.

The previous prime is 20112011100079. The next prime is 20112011100119. The reversal of 20112011100100 is 100111021102.

It is a super-2 number, since 2×20112011100100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7939396 + ... + 10161595.

It is an arithmetic number, because the mean of its divisors is an integer number (623229221888).

Almost surely, 2^{20112011100100} is an apocalyptic number.

20112011100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112011100100 is an abundant number, since it is smaller than the sum of its proper divisors (24760492875836).

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

20112011100100 is a wasteful number, since it uses less digits than its factorization.

20112011100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18101317 (or 18101310 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20112011100100 its reverse (100111021102), we get a palindrome (20212122121202).

The spelling of 20112011100100 in words is "twenty trillion, one hundred twelve billion, eleven million, one hundred thousand, one hundred".