11050551060100 has 108 divisors (see below), whose sum is σ = 25494672666204. Its totient is φ = 4156707307520.

The previous prime is 11050551060011. The next prime is 11050551060113. The reversal of 11050551060100 is 106015505011.

It can be written as a sum of positive squares in 18 ways, for example, as 5288592493636 + 5761958566464 = 2299694^2 + 2400408^2 .

It is a super-2 number, since 2×11050551060100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34317444 + ... + 34637956.

Almost surely, 2^{11050551060100} is an apocalyptic number.

11050551060100 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 11050551060100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12747336333102).

11050551060100 is an abundant number, since it is smaller than the sum of its proper divisors (14444121606104).

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

11050551060100 is a wasteful number, since it uses less digits than its factorization.

11050551060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321754 (or 321730 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

Adding to 11050551060100 its reverse (106015505011), we get a palindrome (11156566565111).

The spelling of 11050551060100 in words is "eleven trillion, fifty billion, five hundred fifty-one million, sixty thousand, one hundred".