10100111111012 has 24 divisors (see below), whose sum is σ = 19034911248696. Its totient is φ = 4661568569088.

The previous prime is 10100111111011. The next prime is 10100111111047. The reversal of 10100111111012 is 21011111100101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1683184485376 + 8416926625636 = 1297376^2 + 2901194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100111110984 and 10100111111002.

It is not an unprimeable number, because it can be changed into a prime (10100111111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21712448 + ... + 22172744.

It is an arithmetic number, because the mean of its divisors is an integer number (793121302029).

Almost surely, 2^{10100111111012} is an apocalyptic number.

It is an amenable number.

10100111111012 is a deficient number, since it is larger than the sum of its proper divisors (8934800137684).

10100111111012 is a wasteful number, since it uses less digits than its factorization.

10100111111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882287 (or 882285 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10100111111012 its reverse (21011111100101), we get a palindrome (31111222211113).

The spelling of 10100111111012 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, twelve".