101001112000107 has 32 divisors (see below), whose sum is σ = 148332764194560. Its totient is φ = 60620834401920.

The previous prime is 101001112000081. The next prime is 101001112000123. The reversal of 101001112000107 is 701000211100101.

It is not a de Polignac number, because 101001112000107 - 2¹² = 101001111996011 is a prime.

It is a super-2 number, since 2×101001112000107² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101001112000207) 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, 152848 + ... + 14213570.

It is an arithmetic number, because the mean of its divisors is an integer number (4635398881080).

Almost surely, 2^{101001112000107} is an apocalyptic number.

101001112000107 is a deficient number, since it is larger than the sum of its proper divisors (47331652194453).

101001112000107 is a wasteful number, since it uses less digits than its factorization.

101001112000107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14062843.

The product of its (nonzero) digits is 14, while the sum is 15.

Adding to 101001112000107 its reverse (701000211100101), we get a palindrome (802001323100208).

The spelling of 101001112000107 in words is "one hundred one trillion, one billion, one hundred twelve million, one hundred seven", and thus it is an aban number.