10051101101120 has 56 divisors (see below), whose sum is σ = 23935038814104. Its totient is φ = 4020296933376.

The previous prime is 10051101101059. The next prime is 10051101101141. The reversal of 10051101101120 is 2110110115001.

It can be written as a sum of positive squares in 4 ways, for example, as 3329982630976 + 6721118470144 = 1824824^2 + 2592512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10051101101095 and 10051101101104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8654762 + ... + 9747158.

Almost surely, 2^{10051101101120} is an apocalyptic number.

10051101101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10051101101120 is an abundant number, since it is smaller than the sum of its proper divisors (13883937712984).

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

10051101101120 is a wasteful number, since it uses less digits than its factorization.

10051101101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121167 (or 1121157 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 14.

Adding to 10051101101120 its reverse (2110110115001), we get a palindrome (12161211216121).

The spelling of 10051101101120 in words is "ten trillion, fifty-one billion, one hundred one million, one hundred one thousand, one hundred twenty".