10001120211112 has 8 divisors (see below), whose sum is σ = 18752100395850. Its totient is φ = 5000560105552.

The previous prime is 10001120211091. The next prime is 10001120211161. The reversal of 10001120211112 is 21111202110001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5402900443396 + 4598219767716 = 2324414^2 + 2144346^2 .

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

It is a super-2 number, since 2×10001120211112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001120211092 and 10001120211101.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 625070013187 + ... + 625070013202.

Almost surely, 2^{10001120211112} is an apocalyptic number.

It is an amenable number.

10001120211112 is a deficient number, since it is larger than the sum of its proper divisors (8750980184738).

10001120211112 is a wasteful number, since it uses less digits than its factorization.

10001120211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250140026395 (or 1250140026391 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10001120211112 its reverse (21111202110001), we get a palindrome (31112322321113).

The spelling of 10001120211112 in words is "ten trillion, one billion, one hundred twenty million, two hundred eleven thousand, one hundred twelve".