10011100084628 has 24 divisors (see below), whose sum is σ = 17639371869000. Its totient is φ = 4971288567168.

The previous prime is 10011100084627. The next prime is 10011100084649. The reversal of 10011100084628 is 82648000111001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2301659162884 + 7709440921744 = 1517122^2 + 2776588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10011100084594 and 10011100084603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011100084627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3333038 + ... + 5579546.

It is an arithmetic number, because the mean of its divisors is an integer number (734973827875).

Almost surely, 2^{10011100084628} is an apocalyptic number.

It is an amenable number.

10011100084628 is a deficient number, since it is larger than the sum of its proper divisors (7628271784372).

10011100084628 is a wasteful number, since it uses less digits than its factorization.

10011100084628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254139 (or 2254137 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

Adding to 10011100084628 its reverse (82648000111001), we get a palindrome (92659100195629).

The spelling of 10011100084628 in words is "ten trillion, eleven billion, one hundred million, eighty-four thousand, six hundred twenty-eight".