101011112010111 has 16 divisors (see below), whose sum is σ = 135375486176000. Its totient is φ = 66993825653568.

The previous prime is 101011112010101. The next prime is 101011112010197. The reversal of 101011112010111 is 111010211110101.

It is not a de Polignac number, because 101011112010111 - 2⁴¹ = 98812088754559 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011112010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6057046 + ... + 15450243.

It is an arithmetic number, because the mean of its divisors is an integer number (8460967886000).

Almost surely, 2^{101011112010111} is an apocalyptic number.

101011112010111 is a deficient number, since it is larger than the sum of its proper divisors (34364374165889).

101011112010111 is a wasteful number, since it uses less digits than its factorization.

101011112010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21515358.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101011112010111 its reverse (111010211110101), we get a palindrome (212021323120212).

The spelling of 101011112010111 in words is "one hundred one trillion, eleven billion, one hundred twelve million, ten thousand, one hundred eleven".