101101001111112 has 64 divisors (see below), whose sum is σ = 253766928844800. Its totient is φ = 33565084776000.

The previous prime is 101101001111111. The next prime is 101101001111129. The reversal of 101101001111112 is 211111100101101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101101001111111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221738589 + ... + 222194067.

It is an arithmetic number, because the mean of its divisors is an integer number (3965108263200).

Almost surely, 2^{101101001111112} is an apocalyptic number.

101101001111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101001111112 is an abundant number, since it is smaller than the sum of its proper divisors (152665927733688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101001111112 is a wasteful number, since it uses less digits than its factorization.

101101001111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492586 (or 492582 counting only the distinct ones).

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

Adding to 101101001111112 its reverse (211111100101101), we get a palindrome (312212101212213).

The spelling of 101101001111112 in words is "one hundred one trillion, one hundred one billion, one million, one hundred eleven thousand, one hundred twelve".