10112101011 has 12 divisors (see below), whose sum is σ = 14607250320. Its totient is φ = 6740993520.

The previous prime is 10112101003. The next prime is 10112101067. The reversal of 10112101011 is 11010121101.

It is not a de Polignac number, because 10112101011 - 2³ = 10112101003 is a prime.

It is a super-3 number, since 3×10112101011³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10112100984 and 10112101002.

It is not an unprimeable number, because it can be changed into a prime (10112101091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238426 + ... + 277616.

It is an arithmetic number, because the mean of its divisors is an integer number (1217270860).

Almost surely, 2^10112101011 is an apocalyptic number.

10112101011 is a deficient number, since it is larger than the sum of its proper divisors (4495149309).

10112101011 is a wasteful number, since it uses less digits than its factorization.

10112101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67866 (or 67863 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10112101011 its reverse (11010121101), we get a palindrome (21122222112).

The spelling of 10112101011 in words is "ten billion, one hundred twelve million, one hundred one thousand, eleven".