10116633661101 has 48 divisors (see below), whose sum is σ = 15952080036672. Its totient is φ = 6127172620800.

The previous prime is 10116633661073. The next prime is 10116633661103.

10116633661101 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 6 + 6 + 3 + 36 + 611 + 0 + 1 = 666.

10116633661101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10116633661101 - 2⁹ = 10116633660589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116633661103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1480551781 + ... + 1480558613.

It is an arithmetic number, because the mean of its divisors is an integer number (332335000764).

Almost surely, 2^{10116633661101} is an apocalyptic number.

10116633661101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10116633661101 is a deficient number, since it is larger than the sum of its proper divisors (5835446375571).

10116633661101 is a wasteful number, since it uses less digits than its factorization.

10116633661101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14714 (or 14711 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

It can be divided in two parts, 1011663 and 3661101, that added together give a palindrome (4672764).

The spelling of 10116633661101 in words is "ten trillion, one hundred sixteen billion, six hundred thirty-three million, six hundred sixty-one thousand, one hundred one".