101112003113 has 32 divisors (see below), whose sum is σ = 121215346560. Its totient is φ = 83256284160.

The previous prime is 101112003107. The next prime is 101112003131. The reversal of 101112003113 is 311300211101.

It is a happy number.

It is not a de Polignac number, because 101112003113 - 2¹² = 101111999017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101112008113) 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, 1634495 + ... + 1695227.

It is an arithmetic number, because the mean of its divisors is an integer number (3787979580).

Almost surely, 2^101112003113 is an apocalyptic number.

It is an amenable number.

101112003113 is a deficient number, since it is larger than the sum of its proper divisors (20103343447).

101112003113 is a wasteful number, since it uses less digits than its factorization.

101112003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61097.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101112003113 its reverse (311300211101), we get a palindrome (412412214214).

The spelling of 101112003113 in words is "one hundred one billion, one hundred twelve million, three thousand, one hundred thirteen".