11051010060100 has 72 divisors (see below), whose sum is σ = 25432476045480. Its totient is φ = 4153636945920.

The previous prime is 11051010060073. The next prime is 11051010060107. The reversal of 11051010060100 is 106001015011.

It can be written as a sum of positive squares in 12 ways, for example, as 4751432129284 + 6299577930816 = 2179778^2 + 2509896^2 .

It is a super-2 number, since 2×11051010060100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11051010060107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4219005 + ... + 6316804.

It is an arithmetic number, because the mean of its divisors is an integer number (353228833965).

Almost surely, 2^{11051010060100} is an apocalyptic number.

11051010060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11051010060100 is an abundant number, since it is smaller than the sum of its proper divisors (14381465985380).

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

11051010060100 is a wasteful number, since it uses less digits than its factorization.

11051010060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536457 (or 10536450 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 11051010060100 its reverse (106001015011), we get a palindrome (11157011075111).

The spelling of 11051010060100 in words is "eleven trillion, fifty-one billion, ten million, sixty thousand, one hundred".