1007112112027 has 32 divisors (see below), whose sum is σ = 1287215769600. Its totient is φ = 768264352128.

The previous prime is 1007112111991. The next prime is 1007112112037. The reversal of 1007112112027 is 7202112117001.

It is not a de Polignac number, because 1007112112027 - 2¹⁹ = 1007111587739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1007112111992 and 1007112112010.

It is not an unprimeable number, because it can be changed into a prime (1007112112037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3385843 + ... + 3671260.

It is an arithmetic number, because the mean of its divisors is an integer number (40225492800).

Almost surely, 2^{1007112112027} is an apocalyptic number.

1007112112027 is a deficient number, since it is larger than the sum of its proper divisors (280103657573).

1007112112027 is a wasteful number, since it uses less digits than its factorization.

1007112112027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7057195.

The product of its (nonzero) digits is 392, while the sum is 25.

Adding to 1007112112027 its reverse (7202112117001), we get a palindrome (8209224229028).

The spelling of 1007112112027 in words is "one trillion, seven billion, one hundred twelve million, one hundred twelve thousand, twenty-seven".