11112120010100 has 54 divisors (see below), whose sum is σ = 24576853276290. Its totient is φ = 4360982837120.

The previous prime is 11112120010067. The next prime is 11112120010109. The reversal of 11112120010100 is 101002121111.

It can be written as a sum of positive squares in 9 ways, for example, as 2893795645456 + 8218324364644 = 1701116^2 + 2866762^2 .

It is a super-2 number, since 2×11112120010100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112120010109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19498595 + ... + 20060394.

Almost surely, 2^{11112120010100} is an apocalyptic number.

11112120010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112120010100 is an abundant number, since it is smaller than the sum of its proper divisors (13464733266190).

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

11112120010100 is a wasteful number, since it uses less digits than its factorization.

11112120010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39559109 (or 39559049 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11112120010100 its reverse (101002121111), we get a palindrome (11213122131211).

The spelling of 11112120010100 in words is "eleven trillion, one hundred twelve billion, one hundred twenty million, ten thousand, one hundred".