1000112112101 has 2 divisors, whose sum is σ = 1000112112102. Its totient is φ = 1000112112100.

The previous prime is 1000112112089. The next prime is 1000112112119. The reversal of 1000112112101 is 1012112110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 976145976001 + 23966136100 = 988001^2 + 154810^2 .

It is an emirp because it is prime and its reverse (1012112110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000112112101 - 2²² = 1000107917797 is a prime.

It is a super-2 number, since 2×1000112112101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000112112161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500056056050 + 500056056051.

It is an arithmetic number, because the mean of its divisors is an integer number (500056056051).

Almost surely, 2^{1000112112101} is an apocalyptic number.

It is an amenable number.

1000112112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000112112101 is an equidigital number, since it uses as much as digits as its factorization.

1000112112101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1000112112101 its reverse (1012112110001), we get a palindrome (2012224222102).

The spelling of 1000112112101 in words is "one trillion, one hundred twelve million, one hundred twelve thousand, one hundred one".