11213100101112 has 128 divisors (see below), whose sum is σ = 35235928627200. Its totient is φ = 2894379798528.

The previous prime is 11213100101053. The next prime is 11213100101197. The reversal of 11213100101112 is 21110100131211.

It is a super-4 number, since 4×11213100101112⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11213100101091 and 11213100101100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54516537 + ... + 54721832.

It is an arithmetic number, because the mean of its divisors is an integer number (275280692400).

Almost surely, 2^{11213100101112} is an apocalyptic number.

11213100101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11213100101112 is an abundant number, since it is smaller than the sum of its proper divisors (24022828526088).

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

11213100101112 is a wasteful number, since it uses less digits than its factorization.

11213100101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109238445 (or 109238441 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 11213100101112 its reverse (21110100131211), we get a palindrome (32323200232323).

The spelling of 11213100101112 in words is "eleven trillion, two hundred thirteen billion, one hundred million, one hundred one thousand, one hundred twelve".