10011111122120 has 16 divisors (see below), whose sum is σ = 22525000024860. Its totient is φ = 4004444448832.

The previous prime is 10011111122113. The next prime is 10011111122143. The reversal of 10011111122120 is 2122111111001.

It can be written as a sum of positive squares in 2 ways, for example, as 9845173840804 + 165937281316 = 3137702^2 + 407354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10011111122095 and 10011111122104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125138888987 + ... + 125138889066.

Almost surely, 2^{10011111122120} is an apocalyptic number.

10011111122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011111122120 is an abundant number, since it is smaller than the sum of its proper divisors (12513888902740).

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

10011111122120 is a wasteful number, since it uses less digits than its factorization.

10011111122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250277778064 (or 250277778060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10011111122120 its reverse (2122111111001), we get a palindrome (12133222233121).

The spelling of 10011111122120 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty".