11050501105100 has 144 divisors (see below), whose sum is σ = 24553675964160. Its totient is φ = 4315454457600.

The previous prime is 11050501105079. The next prime is 11050501105109. The reversal of 11050501105100 is 150110505011.

It is a super-2 number, since 2×11050501105100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11050501105109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1287782810 + ... + 1287791390.

It is an arithmetic number, because the mean of its divisors is an integer number (170511638640).

Almost surely, 2^{11050501105100} is an apocalyptic number.

11050501105100 is a gapful number since it is divisible by the number (10) 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 11050501105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276837982080).

11050501105100 is an abundant number, since it is smaller than the sum of its proper divisors (13503174859060).

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

11050501105100 is a wasteful number, since it uses less digits than its factorization.

11050501105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 20.

The spelling of 11050501105100 in words is "eleven trillion, fifty billion, five hundred one million, one hundred five thousand, one hundred".