11101009838856 has 128 divisors (see below), whose sum is σ = 33058174156800. Its totient is φ = 3039603459840.

The previous prime is 11101009838843. The next prime is 11101009838857. The reversal of 11101009838856 is 65883890010111.

It is a junction number, because it is equal to n+sod(n) for n = 11101009838799 and 11101009838808.

It is not an unprimeable number, because it can be changed into a prime (11101009838857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9810811 + ... + 10883658.

It is an arithmetic number, because the mean of its divisors is an integer number (258266985600).

Almost surely, 2^{11101009838856} is an apocalyptic number.

It is an amenable number.

11101009838856 is an abundant number, since it is smaller than the sum of its proper divisors (21957164317944).

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

11101009838856 is a wasteful number, since it uses less digits than its factorization.

11101009838856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20694619 (or 20694615 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 51.

Adding to 11101009838856 its reverse (65883890010111), we get a palindrome (76984899848967).

The spelling of 11101009838856 in words is "eleven trillion, one hundred one billion, nine million, eight hundred thirty-eight thousand, eight hundred fifty-six".