101101021211112 has 128 divisors (see below), whose sum is σ = 281960090899200. Its totient is φ = 29994890268672.

The previous prime is 101101021211093. The next prime is 101101021211119. The reversal of 101101021211112 is 211112120101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101021211091 and 101101021211100.

It is not an unprimeable number, because it can be changed into a prime (101101021211119) 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, 796753 + ... + 14242080.

It is an arithmetic number, because the mean of its divisors is an integer number (2202813210150).

Almost surely, 2^{101101021211112} is an apocalyptic number.

101101021211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101021211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140980045449600).

101101021211112 is an abundant number, since it is smaller than the sum of its proper divisors (180859069688088).

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

101101021211112 is a wasteful number, since it uses less digits than its factorization.

101101021211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15039627 (or 15039623 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101101021211112 its reverse (211112120101101), we get a palindrome (312213141312213).

The spelling of 101101021211112 in words is "one hundred one trillion, one hundred one billion, twenty-one million, two hundred eleven thousand, one hundred twelve".