10001121111112 has 8 divisors (see below), whose sum is σ = 18752102083350. Its totient is φ = 5000560555552.

The previous prime is 10001121111097. The next prime is 10001121111139. The reversal of 10001121111112 is 21111112110001.

It can be written as a sum of positive squares in only one way, i.e., 5227743853476 + 4773377257636 = 2286426^2 + 2184806^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 10001121111092 and 10001121111101.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 625070069437 + ... + 625070069452.

Almost surely, 2^{10001121111112} is an apocalyptic number.

It is an amenable number.

10001121111112 is a deficient number, since it is larger than the sum of its proper divisors (8750980972238).

10001121111112 is a wasteful number, since it uses less digits than its factorization.

10001121111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250140138895 (or 1250140138891 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10001121111112 its reverse (21111112110001), we get a palindrome (31112233221113).

The spelling of 10001121111112 in words is "ten trillion, one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twelve".